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

Determine the max theoretical information rate, 1 Data is to be transmitted...

1 Data is to be transmitted over Public Switched Telephone Network (PSTN) using 8 levels per signaling elements. If the bandwidth is 3000 Hz, deduce the theoretical maximum transfe

Integer exponents, We will begin this chapter by looking at integer exponen...

We will begin this chapter by looking at integer exponents. Actually, initially we will suppose that the exponents are +ve as well. We will look at zero & negative exponents in a

Integration, why we study integration..?? uses

why we study integration..?? uses

Determine the function notation, Given f (x) = - x 2 + 6 x -11 determine e...

Given f (x) = - x 2 + 6 x -11 determine each of the following. (a) f ( 2) (b) f ( -10) (c) f (t ) Solution (a) f ( 2) = - ( 2) 2 + 6(2) -11 = -3 (

Functions of limits, Following is some more common functions that are "nice...

Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid

SYSTEMS OF ODE, Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear s...

Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2 2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi

Geometric interpretation of the cross product, Geometric Interpretation of ...

Geometric Interpretation of the Cross Product There is as well a geometric interpretation of the cross product. Firstly we will let θ be the angle in between the two vectors a

Operation research, approximate the following problem as a mixed integer pr...

approximate the following problem as a mixed integer program. maximize z=e-x1+x1+(x2+1)2 subject to x12+x2 =0

Four is added to the quantity two minus the sum of negative, Four is added ...

Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied through three. What is the result? This problem translates to the expr

Mensuration, find the diameter of circle whose circumference is 26.51

find the diameter of circle whose circumference is 26.51

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages