Find the largest possible positive integer, Mathematics

Assignment Help:

Find the largest possible positive integer that will divide 398, 436, and 542 leaving remainder 7, 11, 15 respectively.

(Ans: 17)

Ans: The required number is the HCF of the numbers

Find the HCF of 391, 425 and 527 by Euclid's algorithm

∴ HCF (425, 391) = 17

Now we have to find the HCF of 17 and 527

527 = 17 ? 31 +0

∴ HCF (17,527) = 17

∴ HCF (391, 425 and 527) = 17

 


Related Discussions:- Find the largest possible positive integer

Find out the absolute extrema for function and interval, Find out the absol...

Find out the absolute extrema for the given function and interval.  g (t ) = 2t 3 + 3t 2 -12t + 4 on [-4, 2] Solution : All we actually need to do here is follow the pr

Word problem, A girl has 25 plants in all, 8 of them are tomatos. She has 1...

A girl has 25 plants in all, 8 of them are tomatos. She has 10 more bean plants than pepper plants. How many pepper plants does she have?

Modeling , A plastic manufacturer has 1200 boxes of transparent wrap in sto...

A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and 1000 boxes at his second factory.The manufacturer has order for this product from 3 different

Differentiation, how to write assignment of the application of differentiat...

how to write assignment of the application of differentiation in science

Solve the following word problems, 1.   The length of a rectangle is 2 time...

1.   The length of a rectangle is 2 times its width.  The area of the rectangle is 72          square inches. Find the dimensions of the rectangle.   2.   The length of a rec

probability: complying with this treatment, A national study found that tr...

A national study found that treating people appropriately for high blood pressure decreased their overall mortality rate by 20%. Treating people adequately for hypertension has bee

Plane and solid mensuration, the area of a triangle is 20 and its base is 1...

the area of a triangle is 20 and its base is 16. Find the base of a similar triangle whose area is 45. Given is a regular pentagon. Find the measure of angle LHIK.

Construct a tangent to a circle of radius, 1.  Draw a pair of tangents to a...

1.  Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 900. 2.  Construct a tangent to a circle of radius 2cm from a point on the c

Do all our activities involve mathematics?, Do All Our Activities Involve M...

Do All Our Activities Involve Mathematics? :  The answer to this is 'yes' and 'no'. For those who look for mathematics and know where to look for it, it is 'yes'. For those who do

Adding equally sized groups-prerequisites for multiplication, Adding Equall...

Adding Equally Sized Groups:  Once children have had enough practice of making groups of equal size, you can ask them to add some of these equal groups. They can now begin to atte

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd