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GCD of 226, 788, 661, 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 226, 788, 661, 972 quickly. Get the easiest ways to solve the greatest common divisor of 226, 788, 661, 972 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 226, 788, 661, 972 with Factoring?

Given Input numbers are 226, 788, 661, 972

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

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 (226, 788, 661, 972) = 1.

Find GCD of 226, 788, 661, 972 using Prime Factorization

Given numbers are 226, 788, 661, 972

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

Prime factors of 788 are 2 x 2 x 197

Prime factors of 661 are 661

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 226, 788, 661, 972 using LCM Formula

Given numbers are 226, 788, 661, 972

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

Apply this formula for all numbers.

Step1:

LCM(226, 788) = 89044

GCD(226, 788) = ( 226 x 788 ) / 89044

= 226 / 788

= 226


Step2:

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

= 2 / 661

= 2


Step3:

LCM(1, 972) = 972

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

= 1 / 972

= 1


So, Greatest Common Divisor of 226, 788, 661, 972 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 226, 788, 661, 972

Given numbers are 226, 788, 661, 972
The greatest common divisor of numbers 226, 788, 661, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 788, 661, 972 is 1.

FAQs on GCD of 226, 788, 661, 972 Calculator

1. What is the GCD of 226, 788, 661, 972?

GCD of given numbers 226, 788, 661, 972 is 1


2. How to calculate the greatest common divisor of 226, 788, 661, 972?

We can find the highest common divisor of 226, 788, 661, 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 226, 788, 661, 972 i.e 1.


3. How can I use the GCD of 226, 788, 661, 972Calculator?

Out the numbers 226, 788, 661, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.