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GCD of 953, 974, 561, 137 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 953, 974, 561, 137 quickly. Get the easiest ways to solve the greatest common divisor of 953, 974, 561, 137 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 953, 974, 561, 137 with Factoring?

Given Input numbers are 953, 974, 561, 137

In the factoring method, we have to find the divisors of all numbers

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137


GCD of numbers is the greatest common divisor

So, the GCD (953, 974, 561, 137) = 1.

Find GCD of 953, 974, 561, 137 using Prime Factorization

Given numbers are 953, 974, 561, 137

The list of prime factors of all numbers are

Prime factors of 953 are 953

Prime factors of 974 are 2 x 487

Prime factors of 561 are 3 x 11 x 17

Prime factors of 137 are 137

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

Steps to Calculate GCD of 953, 974, 561, 137 using LCM Formula

Given numbers are 953, 974, 561, 137

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(953, 974) = 928222

GCD(953, 974) = ( 953 x 974 ) / 928222

= 953 / 974

= 953


Step2:

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

= 1 / 561

= 1


Step3:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1


So, Greatest Common Divisor of 953, 974, 561, 137 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 953, 974, 561, 137

Given numbers are 953, 974, 561, 137
The greatest common divisor of numbers 953, 974, 561, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 953, 974, 561, 137 is 1.

FAQs on GCD of 953, 974, 561, 137 Calculator

1. What is the GCD of 953, 974, 561, 137?

GCD of given numbers 953, 974, 561, 137 is 1


2. How to calculate the greatest common divisor of 953, 974, 561, 137?

We can find the highest common divisor of 953, 974, 561, 137 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 953, 974, 561, 137 i.e 1.


3. How can I use the GCD of 953, 974, 561, 137Calculator?

Out the numbers 953, 974, 561, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.