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GCD of 492, 596, 759, 362 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 596, 759, 362 quickly. Get the easiest ways to solve the greatest common divisor of 492, 596, 759, 362 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 596, 759, 362 with Factoring?

Given Input numbers are 492, 596, 759, 362

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362


GCD of numbers is the greatest common divisor

So, the GCD (492, 596, 759, 362) = 1.

Find GCD of 492, 596, 759, 362 using Prime Factorization

Given numbers are 492, 596, 759, 362

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 596 are 2 x 2 x 149

Prime factors of 759 are 3 x 11 x 23

Prime factors of 362 are 2 x 181

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

Steps to Calculate GCD of 492, 596, 759, 362 using LCM Formula

Given numbers are 492, 596, 759, 362

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

Apply this formula for all numbers.

Step1:

LCM(492, 596) = 73308

GCD(492, 596) = ( 492 x 596 ) / 73308

= 492 / 596

= 492


Step2:

LCM(4, 759) = 3036

GCD(4, 759) = ( 4 x 759 ) / 3036

= 4 / 759

= 4


Step3:

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

= 1 / 362

= 1


So, Greatest Common Divisor of 492, 596, 759, 362 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 596, 759, 362

Given numbers are 492, 596, 759, 362
The greatest common divisor of numbers 492, 596, 759, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 596, 759, 362 is 1.

FAQs on GCD of 492, 596, 759, 362 Calculator

1. What is the GCD of 492, 596, 759, 362?

GCD of given numbers 492, 596, 759, 362 is 1


2. How to calculate the greatest common divisor of 492, 596, 759, 362?

We can find the highest common divisor of 492, 596, 759, 362 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 492, 596, 759, 362 i.e 1.


3. How can I use the GCD of 492, 596, 759, 362Calculator?

Out the numbers 492, 596, 759, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.