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GCD of 240, 765, 52, 588 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, 765, 52, 588 quickly. Get the easiest ways to solve the greatest common divisor of 240, 765, 52, 588 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 765, 52, 588 with Factoring?

Given Input numbers are 240, 765, 52, 588

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 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588


GCD of numbers is the greatest common divisor

So, the GCD (240, 765, 52, 588) = 1.

Find GCD of 240, 765, 52, 588 using Prime Factorization

Given numbers are 240, 765, 52, 588

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 765 are 3 x 3 x 5 x 17

Prime factors of 52 are 2 x 2 x 13

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

Steps to Calculate GCD of 240, 765, 52, 588 using LCM Formula

Given numbers are 240, 765, 52, 588

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

Apply this formula for all numbers.

Step1:

LCM(240, 765) = 12240

GCD(240, 765) = ( 240 x 765 ) / 12240

= 240 / 765

= 240


Step2:

LCM(15, 52) = 780

GCD(15, 52) = ( 15 x 52 ) / 780

= 15 / 52

= 15


Step3:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1


So, Greatest Common Divisor of 240, 765, 52, 588 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 765, 52, 588

Given numbers are 240, 765, 52, 588
The greatest common divisor of numbers 240, 765, 52, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 765, 52, 588 is 1.

FAQs on GCD of 240, 765, 52, 588 Calculator

1. What is the GCD of 240, 765, 52, 588?

GCD of given numbers 240, 765, 52, 588 is 1


2. How to calculate the greatest common divisor of 240, 765, 52, 588?

We can find the highest common divisor of 240, 765, 52, 588 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, 765, 52, 588 i.e 1.


3. How can I use the GCD of 240, 765, 52, 588Calculator?

Out the numbers 240, 765, 52, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.