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GCD of 921, 538, 767 Calculator

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


Online GCD Calculator is useful to find the GCD of 921, 538, 767 quickly. Get the easiest ways to solve the greatest common divisor of 921, 538, 767 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 921, 538, 767 with Factoring?

Given Input numbers are 921, 538, 767

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767


GCD of numbers is the greatest common divisor

So, the GCD (921, 538, 767) = 1.

Find GCD of 921, 538, 767 using Prime Factorization

Given numbers are 921, 538, 767

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 538 are 2 x 269

Prime factors of 767 are 13 x 59

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

Steps to Calculate GCD of 921, 538, 767 using LCM Formula

Given numbers are 921, 538, 767

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

Apply this formula for all numbers.

Step1:

LCM(921, 538) = 495498

GCD(921, 538) = ( 921 x 538 ) / 495498

= 921 / 538

= 921


Step2:

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

= 1 / 767

= 1


So, Greatest Common Divisor of 921, 538, 767 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 921, 538, 767

Given numbers are 921, 538, 767
The greatest common divisor of numbers 921, 538, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 538, 767 is 1.

FAQs on GCD of 921, 538, 767 Calculator

1. What is the GCD of 921, 538, 767?

GCD of given numbers 921, 538, 767 is 1


2. How to calculate the greatest common divisor of 921, 538, 767?

We can find the highest common divisor of 921, 538, 767 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 921, 538, 767 i.e 1.


3. How can I use the GCD of 921, 538, 767Calculator?

Out the numbers 921, 538, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.