GCD of 122, 100, 75, 977 Calculator

Given Input numbers are 122, 100, 75, 977

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 122, 100, 75, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 100, 75, 977 is 1.

Therefore, GCD of numbers 122, 100, 75, 977 is 1

Given Input Data is 122, 100, 75, 977

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 977 is 977

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(122, 100) = 6100

GCD(122, 100) = ( 122 x 100 ) / 6100

GCD(122, 100) = 12200 / 6100

GCD(122, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 122, 100, 75, 977 is 1

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• GCD of 510, 943, 98, 660
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• GCD of 434, 851, 13, 208

1. What is the GCD of 122, 100, 75, 977?

GCD of 122, 100, 75, 977 is 1

2. Where do I get the detailed procedure to find GCD of 122, 100, 75, 977?

You can find a detailed procedure to find GCD of 122, 100, 75, 977 on our page.

3. How to find GCD of 122, 100, 75, 977 on a calculator?

You can find the GCD of 122, 100, 75, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.