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GCD of 250, 902, 441, 972 Calculator

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


Online GCD Calculator is useful to find the GCD of 250, 902, 441, 972 quickly. Get the easiest ways to solve the greatest common divisor of 250, 902, 441, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 250, 902, 441, 972 with Factoring?

Given Input numbers are 250, 902, 441, 972

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

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972


GCD of numbers is the greatest common divisor

So, the GCD (250, 902, 441, 972) = 1.

Find GCD of 250, 902, 441, 972 using Prime Factorization

Given numbers are 250, 902, 441, 972

The list of prime factors of all numbers are

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 902 are 2 x 11 x 41

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 250, 902, 441, 972 using LCM Formula

Given numbers are 250, 902, 441, 972

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

Apply this formula for all numbers.

Step1:

LCM(250, 902) = 112750

GCD(250, 902) = ( 250 x 902 ) / 112750

= 250 / 902

= 250


Step2:

LCM(2, 441) = 882

GCD(2, 441) = ( 2 x 441 ) / 882

= 2 / 441

= 2


Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1


So, Greatest Common Divisor of 250, 902, 441, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 250, 902, 441, 972

Given numbers are 250, 902, 441, 972
The greatest common divisor of numbers 250, 902, 441, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 902, 441, 972 is 1.

FAQs on GCD of 250, 902, 441, 972 Calculator

1. What is the GCD of 250, 902, 441, 972?

GCD of given numbers 250, 902, 441, 972 is 1


2. How to calculate the greatest common divisor of 250, 902, 441, 972?

We can find the highest common divisor of 250, 902, 441, 972 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 250, 902, 441, 972 i.e 1.


3. How can I use the GCD of 250, 902, 441, 972Calculator?

Out the numbers 250, 902, 441, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.