GCD of 889, 138, 10, 953 Calculator

Given Input numbers are 889, 138, 10, 953

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

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 953

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

1, 953

Greatest Common Divisior

We found the divisors of 889, 138, 10, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 138, 10, 953 is 1.

Therefore, GCD of numbers 889, 138, 10, 953 is 1

Given Input Data is 889, 138, 10, 953

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

Prime Factorization of 889 is 7 x 127

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 953 is 953

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(889, 138) = 122682

GCD(889, 138) = ( 889 x 138 ) / 122682

GCD(889, 138) = 122682 / 122682

GCD(889, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

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

GCD of 889, 138, 10, 953 is 1

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1. What is the GCD of 889, 138, 10, 953?

GCD of 889, 138, 10, 953 is 1

2. Where do I get the detailed procedure to find GCD of 889, 138, 10, 953?

You can find a detailed procedure to find GCD of 889, 138, 10, 953 on our page.

3. How to find GCD of 889, 138, 10, 953 on a calculator?

You can find the GCD of 889, 138, 10, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.