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 the length of the parallelogram, The perimeter of a parallelogram is 5...

The perimeter of a parallelogram is 50 cm. The length of the parallelogram is 5 cm more than the width. Find the length of the parallelogram. Let w = the width of the parallelo

Demerits and merit-the median, The median Merits i.  This shows t...

The median Merits i.  This shows the centre of a described set of data ii.  Knowledge of the determination of the median may be extended to find out the quartiles i

Determines the angles of depression, A pilot is flying over a straight leng...

A pilot is flying over a straight length of road. He determines the angles of depression of two mileposts, 5 miles apart, to be 32° and 48°. a) Find the distance of the plane f

How many baseball cards does peter now have, Peter purchased 14 latest base...

Peter purchased 14 latest baseball cards for his collection. This increased the size of his collection through 35%. How many baseball cards does Peter now have? First, you must

Inverse sine, Inverse Sine : Let's begin with inverse sine.  Following is ...

Inverse Sine : Let's begin with inverse sine.  Following is the definition of the inverse sine. y = sin -1 x         ⇔     sin y = x                for - ?/2 ≤ y ≤ ?/2 Hen

Introduction to addition and subtraction, INTRODUCTION :  When a child of ...

INTRODUCTION :  When a child of seven isn't able to solve the sum 23+9, what could the reasons be? When she is asked to subtract 9 from 16, why does she write 9 - 16 = 13 ?

Representation of a set, Normally, sets are given in the various ways A)...

Normally, sets are given in the various ways A) ROASTER FORM OR TABULAR FORM In that form, we describe all the member of the set within braces (curly brackets) and differen

Randomly chosen boy can run this race in 302 sec, School run known to posse...

School run known to possess normal distribution with mean 440 sec & SD 60 sec. What is probability that randomly chosen boy can run this race in 302 sec.

Proof for absolute convergence - sequences and series, Proof for Absolute C...

Proof for Absolute Convergence Very first notice that |a n | is either a n or it is - a n depending upon its sign.  The meaning of this is that we can then say, 0 a n +

Ratio, find the ratio of 1:4

find the ratio of 1:4

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