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GCD of 240, 252, 926, 617 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, 252, 926, 617 quickly. Get the easiest ways to solve the greatest common divisor of 240, 252, 926, 617 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 252, 926, 617 with Factoring?

Given Input numbers are 240, 252, 926, 617

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617


GCD of numbers is the greatest common divisor

So, the GCD (240, 252, 926, 617) = 1.

Find GCD of 240, 252, 926, 617 using Prime Factorization

Given numbers are 240, 252, 926, 617

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 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 926 are 2 x 463

Prime factors of 617 are 617

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

Steps to Calculate GCD of 240, 252, 926, 617 using LCM Formula

Given numbers are 240, 252, 926, 617

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

Apply this formula for all numbers.

Step1:

LCM(240, 252) = 5040

GCD(240, 252) = ( 240 x 252 ) / 5040

= 240 / 252

= 240


Step2:

LCM(12, 926) = 5556

GCD(12, 926) = ( 12 x 926 ) / 5556

= 12 / 926

= 12


Step3:

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

= 2 / 617

= 2


So, Greatest Common Divisor of 240, 252, 926, 617 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 252, 926, 617

Given numbers are 240, 252, 926, 617
The greatest common divisor of numbers 240, 252, 926, 617 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 252, 926, 617 is 1.

FAQs on GCD of 240, 252, 926, 617 Calculator

1. What is the GCD of 240, 252, 926, 617?

GCD of given numbers 240, 252, 926, 617 is 1


2. How to calculate the greatest common divisor of 240, 252, 926, 617?

We can find the highest common divisor of 240, 252, 926, 617 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, 252, 926, 617 i.e 1.


3. How can I use the GCD of 240, 252, 926, 617Calculator?

Out the numbers 240, 252, 926, 617 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.