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GCD of 264, 491, 753, 538 Calculator

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


Online GCD Calculator is useful to find the GCD of 264, 491, 753, 538 quickly. Get the easiest ways to solve the greatest common divisor of 264, 491, 753, 538 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 264, 491, 753, 538 with Factoring?

Given Input numbers are 264, 491, 753, 538

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 538 :

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

1, 2, 269, 538


GCD of numbers is the greatest common divisor

So, the GCD (264, 491, 753, 538) = 1.

Find GCD of 264, 491, 753, 538 using Prime Factorization

Given numbers are 264, 491, 753, 538

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 491 are 491

Prime factors of 753 are 3 x 251

Prime factors of 538 are 2 x 269

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

Steps to Calculate GCD of 264, 491, 753, 538 using LCM Formula

Given numbers are 264, 491, 753, 538

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

Apply this formula for all numbers.

Step1:

LCM(264, 491) = 129624

GCD(264, 491) = ( 264 x 491 ) / 129624

= 264 / 491

= 264


Step2:

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

= 1 / 753

= 1


Step3:

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

= 1 / 538

= 1


So, Greatest Common Divisor of 264, 491, 753, 538 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 264, 491, 753, 538

Given numbers are 264, 491, 753, 538
The greatest common divisor of numbers 264, 491, 753, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 491, 753, 538 is 1.

FAQs on GCD of 264, 491, 753, 538 Calculator

1. What is the GCD of 264, 491, 753, 538?

GCD of given numbers 264, 491, 753, 538 is 1


2. How to calculate the greatest common divisor of 264, 491, 753, 538?

We can find the highest common divisor of 264, 491, 753, 538 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 264, 491, 753, 538 i.e 1.


3. How can I use the GCD of 264, 491, 753, 538Calculator?

Out the numbers 264, 491, 753, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.