GCD of 101, 684, 953, 989 Calculator

Given Input numbers are 101, 684, 953, 989

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 101, 684, 953, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 684, 953, 989 is 1.

Therefore, GCD of numbers 101, 684, 953, 989 is 1

Given Input Data is 101, 684, 953, 989

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

Prime Factorization of 101 is 101

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 953 is 953

Prime Factorization of 989 is 23 x 43

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(101, 684) = 69084

GCD(101, 684) = ( 101 x 684 ) / 69084

GCD(101, 684) = 69084 / 69084

GCD(101, 684) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 101, 684, 953, 989 is 1

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1. What is the GCD of 101, 684, 953, 989?

GCD of 101, 684, 953, 989 is 1

2. Where do I get the detailed procedure to find GCD of 101, 684, 953, 989?

You can find a detailed procedure to find GCD of 101, 684, 953, 989 on our page.

3. How to find GCD of 101, 684, 953, 989 on a calculator?

You can find the GCD of 101, 684, 953, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.