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GCD of 658, 461, 972, 351 Calculator

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


Online GCD Calculator is useful to find the GCD of 658, 461, 972, 351 quickly. Get the easiest ways to solve the greatest common divisor of 658, 461, 972, 351 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 658, 461, 972, 351 with Factoring?

Given Input numbers are 658, 461, 972, 351

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

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

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

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351


GCD of numbers is the greatest common divisor

So, the GCD (658, 461, 972, 351) = 1.

Find GCD of 658, 461, 972, 351 using Prime Factorization

Given numbers are 658, 461, 972, 351

The list of prime factors of all numbers are

Prime factors of 658 are 2 x 7 x 47

Prime factors of 461 are 461

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

Prime factors of 351 are 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 658, 461, 972, 351 using LCM Formula

Given numbers are 658, 461, 972, 351

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

Apply this formula for all numbers.

Step1:

LCM(658, 461) = 303338

GCD(658, 461) = ( 658 x 461 ) / 303338

= 658 / 461

= 658


Step2:

LCM(1, 972) = 972

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

= 1 / 972

= 1


Step3:

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

= 1 / 351

= 1


So, Greatest Common Divisor of 658, 461, 972, 351 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 658, 461, 972, 351

Given numbers are 658, 461, 972, 351
The greatest common divisor of numbers 658, 461, 972, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 461, 972, 351 is 1.

FAQs on GCD of 658, 461, 972, 351 Calculator

1. What is the GCD of 658, 461, 972, 351?

GCD of given numbers 658, 461, 972, 351 is 1


2. How to calculate the greatest common divisor of 658, 461, 972, 351?

We can find the highest common divisor of 658, 461, 972, 351 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 658, 461, 972, 351 i.e 1.


3. How can I use the GCD of 658, 461, 972, 351Calculator?

Out the numbers 658, 461, 972, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.