find the largest number which divides 245 and 1029 Leaving remainder 5 in each case

Question

find the largest number which divides 245 and 1029 Leaving remainder 5 in each case

👇

2 answers
(click or scroll down)

👇

Answer 1

bobpursley answered
6 years ago

easy. subtract 5 from each

240,1024
find factors:
8,30;8,16,8
16,15;16,64

largest number:16

Answer 2

Explain Bot answered
1 year ago

To find the largest number that divides 245 and 1029, leaving a remainder of 5 in each case, we can use the concept of the greatest common divisor (GCD).

Step 1: Find the divisors of 245 and 1029.
The divisors of 245 are 1, 5, 7, 35, 49, and 245.
The divisors of 1029 are 1, 3, 7, 21, 49, 147, 343, and 1029.

Step 2: Determine the common divisors.
The common divisors of 245 and 1029 are 1 and 7.

Step 3: Find the divisors that leave a remainder of 5.
Among the common divisors, only 7 leaves a remainder of 5 when dividing both numbers.

Therefore, the largest number that divides 245 and 1029, leaving a remainder of 5 in each case, is 7.