GCD of 975, 875, 15, 779 Calculator

Given Input numbers are 975, 875, 15, 779

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 975, 875, 15, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 875, 15, 779 is 1.

Therefore, GCD of numbers 975, 875, 15, 779 is 1

Given Input Data is 975, 875, 15, 779

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 779 is 19 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(975, 875) = 34125

GCD(975, 875) = ( 975 x 875 ) / 34125

GCD(975, 875) = 853125 / 34125

GCD(975, 875) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 15

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(25, 15) = 75

GCD(25, 15) = ( 25 x 15 ) / 75

GCD(25, 15) = 375 / 75

GCD(25, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 779

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 779) = 3895

GCD(5, 779) = ( 5 x 779 ) / 3895

GCD(5, 779) = 3895 / 3895

GCD(5, 779) = 1

GCD of 975, 875, 15, 779 is 1

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1. What is the GCD of 975, 875, 15, 779?

GCD of 975, 875, 15, 779 is 1

2. Where do I get the detailed procedure to find GCD of 975, 875, 15, 779?

You can find a detailed procedure to find GCD of 975, 875, 15, 779 on our page.

3. How to find GCD of 975, 875, 15, 779 on a calculator?

You can find the GCD of 975, 875, 15, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.