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GCD of 876, 697, 21 Calculator

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


Online GCD Calculator is useful to find the GCD of 876, 697, 21 quickly. Get the easiest ways to solve the greatest common divisor of 876, 697, 21 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 697, 21 with Factoring?

Given Input numbers are 876, 697, 21

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21


GCD of numbers is the greatest common divisor

So, the GCD (876, 697, 21) = 1.

Find GCD of 876, 697, 21 using Prime Factorization

Given numbers are 876, 697, 21

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 697 are 17 x 41

Prime factors of 21 are 3 x 7

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

Steps to Calculate GCD of 876, 697, 21 using LCM Formula

Given numbers are 876, 697, 21

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

Apply this formula for all numbers.

Step1:

LCM(876, 697) = 610572

GCD(876, 697) = ( 876 x 697 ) / 610572

= 876 / 697

= 876


Step2:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1


So, Greatest Common Divisor of 876, 697, 21 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 697, 21

Given numbers are 876, 697, 21
The greatest common divisor of numbers 876, 697, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 697, 21 is 1.

FAQs on GCD of 876, 697, 21 Calculator

1. What is the GCD of 876, 697, 21?

GCD of given numbers 876, 697, 21 is 1


2. How to calculate the greatest common divisor of 876, 697, 21?

We can find the highest common divisor of 876, 697, 21 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 876, 697, 21 i.e 1.


3. How can I use the GCD of 876, 697, 21Calculator?

Out the numbers 876, 697, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.