Question

When 1388,3309 and 7151 are divided by a certain number of three digits the remainders are the same. Find the remainder?

Answer 1

Answer:

Step-by-step explanation:

by using euclids divission lemma

we will find d hcf of the given no.s

i.e  358

Answer 2

Answer:

32

given,

three positive integers, 1388,3309 and 7151

to find,

the remainder when the given three numbers are divided by the same divisor

solution,

• to find the remainder when the given three numbers are divided by the same divisor, we must first find the difference among the given numbers

• 3309 - 1388 = 1921
• 7151 - 1388 = 5763
• 7151 - 3309 = 3842

• secondly, we find the HCF of the resultants by prime factorization :

1921 = 113 x 17

5763= 3 x 51 x 113 x 17

3842 = 2 x 113 x 17

common factors = 17 x 113

three digit common factor = 113

so, dividing each of the given numbers by 113, we get the remainder as 32.

therefore, 32 is the required response.

#SPJ2