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GCD of 757, 508, 216 Calculator

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


Online GCD Calculator is useful to find the GCD of 757, 508, 216 quickly. Get the easiest ways to solve the greatest common divisor of 757, 508, 216 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 757, 508, 216 with Factoring?

Given Input numbers are 757, 508, 216

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

Divisors of 757 :

The positive integer divisors of 757 that completely divides 757 are.

1, 757

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216


GCD of numbers is the greatest common divisor

So, the GCD (757, 508, 216) = 1.

Find GCD of 757, 508, 216 using Prime Factorization

Given numbers are 757, 508, 216

The list of prime factors of all numbers are

Prime factors of 757 are 757

Prime factors of 508 are 2 x 2 x 127

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Steps to Calculate GCD of 757, 508, 216 using LCM Formula

Given numbers are 757, 508, 216

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

Apply this formula for all numbers.

Step1:

LCM(757, 508) = 384556

GCD(757, 508) = ( 757 x 508 ) / 384556

= 757 / 508

= 757


Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1


So, Greatest Common Divisor of 757, 508, 216 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 757, 508, 216

Given numbers are 757, 508, 216
The greatest common divisor of numbers 757, 508, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 757, 508, 216 is 1.

FAQs on GCD of 757, 508, 216 Calculator

1. What is the GCD of 757, 508, 216?

GCD of given numbers 757, 508, 216 is 1


2. How to calculate the greatest common divisor of 757, 508, 216?

We can find the highest common divisor of 757, 508, 216 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 757, 508, 216 i.e 1.


3. How can I use the GCD of 757, 508, 216Calculator?

Out the numbers 757, 508, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.