Question

Find the greatest number which divides 203 and 434 leaving remainder 5 in each

Answer 1

Answer:

33

Step-by-step explanation

Answer 2

Answer:

33

Step-by-step explanation:

if there is a remainder of 5 in each case you can just subtract 5 from each number and compare the factors of those numbers.

for instance 203 - 5 = 198 and the factors of 198 are 1,2,3,6,9,11,18,22,33,66,99,198.

Similarly 434-5 = 429 and the factors of 429 are 1,3,11,13,33,39,143,429.

The greatest factor shared between these two numbers is 33. This is the greatest number which divides 203 and 434 leaving the remainder of 5 in each case.

203÷33

Quotient = 6 , Remainder = 5

434÷33

Quotient = 13 , Remainder = 5