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GCD of 972, 694, 451, 698 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 694, 451, 698 quickly. Get the easiest ways to solve the greatest common divisor of 972, 694, 451, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 694, 451, 698 with Factoring?

Given Input numbers are 972, 694, 451, 698

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

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (972, 694, 451, 698) = 1.

Find GCD of 972, 694, 451, 698 using Prime Factorization

Given numbers are 972, 694, 451, 698

The list of prime factors of all numbers are

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

Prime factors of 694 are 2 x 347

Prime factors of 451 are 11 x 41

Prime factors of 698 are 2 x 349

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

Steps to Calculate GCD of 972, 694, 451, 698 using LCM Formula

Given numbers are 972, 694, 451, 698

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

Apply this formula for all numbers.

Step1:

LCM(972, 694) = 337284

GCD(972, 694) = ( 972 x 694 ) / 337284

= 972 / 694

= 972


Step2:

LCM(2, 451) = 902

GCD(2, 451) = ( 2 x 451 ) / 902

= 2 / 451

= 2


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 972, 694, 451, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 694, 451, 698

Given numbers are 972, 694, 451, 698
The greatest common divisor of numbers 972, 694, 451, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 694, 451, 698 is 1.

FAQs on GCD of 972, 694, 451, 698 Calculator

1. What is the GCD of 972, 694, 451, 698?

GCD of given numbers 972, 694, 451, 698 is 1


2. How to calculate the greatest common divisor of 972, 694, 451, 698?

We can find the highest common divisor of 972, 694, 451, 698 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 972, 694, 451, 698 i.e 1.


3. How can I use the GCD of 972, 694, 451, 698Calculator?

Out the numbers 972, 694, 451, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.