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 a longest common substring - suffix trees, 1. Using suffix trees, give...

1. Using suffix trees, give an algorithm to find a longest common substring shared among three input strings: s 1 of length n 1 , s 2 of length n 2 and s 3 of length n 3 .

Describe laws of cosines, Q. Describe Laws of Cosines? The law of cosin...

Q. Describe Laws of Cosines? The law of cosines is used to find the missing piece of a triangle if we are given either 1. Two sides and the included angle (SAS) or  2. All t

What is the product of the two numbers in terms of x, A number, x, increase...

A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x? The two numbers in terms of x wou

Sequence and series, Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+.....

Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=

Permatuation and combination problem, A student is allowed to select at mos...

A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n. Solution

Theorem on intervals of validity, Theorem Consider the subsequent IVP....

Theorem Consider the subsequent IVP. y′ =  p (t ) y = g (t )  y (t 0 )= y 0 If p(t) and g(t) are continuous functions upon an open interval a o , after that there i

Determine the area of the rectangle, Stuckeyburg is a very small town in ru...

Stuckeyburg is a very small town in rural America. Use the map to approximate the area of the town. a. 40 miles 2 b. 104 miles 2 c. 93.5 miles 2 d. 92 miles 2

Direction fields, This topic is specified its own section for a couple of p...

This topic is specified its own section for a couple of purposes. Firstly, understanding direction fields and what they tell us regarding a differential equation as well as its sol

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