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GCD of 240, 539, 507, 942 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 539, 507, 942 quickly. Get the easiest ways to solve the greatest common divisor of 240, 539, 507, 942 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 539, 507, 942 with Factoring?

Given Input numbers are 240, 539, 507, 942

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942


GCD of numbers is the greatest common divisor

So, the GCD (240, 539, 507, 942) = 1.

Find GCD of 240, 539, 507, 942 using Prime Factorization

Given numbers are 240, 539, 507, 942

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 539 are 7 x 7 x 11

Prime factors of 507 are 3 x 13 x 13

Prime factors of 942 are 2 x 3 x 157

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

Steps to Calculate GCD of 240, 539, 507, 942 using LCM Formula

Given numbers are 240, 539, 507, 942

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

Apply this formula for all numbers.

Step1:

LCM(240, 539) = 129360

GCD(240, 539) = ( 240 x 539 ) / 129360

= 240 / 539

= 240


Step2:

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

= 1 / 507

= 1


Step3:

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

= 1 / 942

= 1


So, Greatest Common Divisor of 240, 539, 507, 942 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 539, 507, 942

Given numbers are 240, 539, 507, 942
The greatest common divisor of numbers 240, 539, 507, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 539, 507, 942 is 1.

FAQs on GCD of 240, 539, 507, 942 Calculator

1. What is the GCD of 240, 539, 507, 942?

GCD of given numbers 240, 539, 507, 942 is 1


2. How to calculate the greatest common divisor of 240, 539, 507, 942?

We can find the highest common divisor of 240, 539, 507, 942 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 240, 539, 507, 942 i.e 1.


3. How can I use the GCD of 240, 539, 507, 942Calculator?

Out the numbers 240, 539, 507, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.