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GCD of 562, 731, 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 562, 731, 21 quickly. Get the easiest ways to solve the greatest common divisor of 562, 731, 21 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 562, 731, 21 with Factoring?

Given Input numbers are 562, 731, 21

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

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 (562, 731, 21) = 1.

Find GCD of 562, 731, 21 using Prime Factorization

Given numbers are 562, 731, 21

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 731 are 17 x 43

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 562, 731, 21 using LCM Formula

Given numbers are 562, 731, 21

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

Apply this formula for all numbers.

Step1:

LCM(562, 731) = 410822

GCD(562, 731) = ( 562 x 731 ) / 410822

= 562 / 731

= 562


Step2:

LCM(1, 21) = 21

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

= 1 / 21

= 1


So, Greatest Common Divisor of 562, 731, 21 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 562, 731, 21

Given numbers are 562, 731, 21
The greatest common divisor of numbers 562, 731, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 731, 21 is 1.

FAQs on GCD of 562, 731, 21 Calculator

1. What is the GCD of 562, 731, 21?

GCD of given numbers 562, 731, 21 is 1


2. How to calculate the greatest common divisor of 562, 731, 21?

We can find the highest common divisor of 562, 731, 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 562, 731, 21 i.e 1.


3. How can I use the GCD of 562, 731, 21Calculator?

Out the numbers 562, 731, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.