GCD of 975, 922, 749, 157 Calculator

Given Input numbers are 975, 922, 749, 157

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Greatest Common Divisior

We found the divisors of 975, 922, 749, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 922, 749, 157 is 1.

Therefore, GCD of numbers 975, 922, 749, 157 is 1

Given Input Data is 975, 922, 749, 157

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 922 is 2 x 461

Prime Factorization of 749 is 7 x 107

Prime Factorization of 157 is 157

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, 922) = 898950

GCD(975, 922) = ( 975 x 922 ) / 898950

GCD(975, 922) = 898950 / 898950

GCD(975, 922) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

GCD of 975, 922, 749, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 899, 135, 723
• GCD of 895, 562, 193, 831
• GCD of 968, 993, 656, 211
• GCD of 480, 563, 145, 277
• GCD of 592, 488, 904, 505

1. What is the GCD of 975, 922, 749, 157?

GCD of 975, 922, 749, 157 is 1

2. Where do I get the detailed procedure to find GCD of 975, 922, 749, 157?

You can find a detailed procedure to find GCD of 975, 922, 749, 157 on our page.

3. How to find GCD of 975, 922, 749, 157 on a calculator?

You can find the GCD of 975, 922, 749, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.