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GCD of 524, 642, 355, 965 Calculator

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


Online GCD Calculator is useful to find the GCD of 524, 642, 355, 965 quickly. Get the easiest ways to solve the greatest common divisor of 524, 642, 355, 965 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 524, 642, 355, 965 with Factoring?

Given Input numbers are 524, 642, 355, 965

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965


GCD of numbers is the greatest common divisor

So, the GCD (524, 642, 355, 965) = 1.

Find GCD of 524, 642, 355, 965 using Prime Factorization

Given numbers are 524, 642, 355, 965

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 642 are 2 x 3 x 107

Prime factors of 355 are 5 x 71

Prime factors of 965 are 5 x 193

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

Steps to Calculate GCD of 524, 642, 355, 965 using LCM Formula

Given numbers are 524, 642, 355, 965

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

Apply this formula for all numbers.

Step1:

LCM(524, 642) = 168204

GCD(524, 642) = ( 524 x 642 ) / 168204

= 524 / 642

= 524


Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2


Step3:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1


So, Greatest Common Divisor of 524, 642, 355, 965 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 524, 642, 355, 965

Given numbers are 524, 642, 355, 965
The greatest common divisor of numbers 524, 642, 355, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 642, 355, 965 is 1.

FAQs on GCD of 524, 642, 355, 965 Calculator

1. What is the GCD of 524, 642, 355, 965?

GCD of given numbers 524, 642, 355, 965 is 1


2. How to calculate the greatest common divisor of 524, 642, 355, 965?

We can find the highest common divisor of 524, 642, 355, 965 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 524, 642, 355, 965 i.e 1.


3. How can I use the GCD of 524, 642, 355, 965Calculator?

Out the numbers 524, 642, 355, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.