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GCD of 902, 749, 135, 507 Calculator

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


Online GCD Calculator is useful to find the GCD of 902, 749, 135, 507 quickly. Get the easiest ways to solve the greatest common divisor of 902, 749, 135, 507 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 902, 749, 135, 507 with Factoring?

Given Input numbers are 902, 749, 135, 507

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

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 507 :

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

1, 3, 13, 39, 169, 507


GCD of numbers is the greatest common divisor

So, the GCD (902, 749, 135, 507) = 1.

Find GCD of 902, 749, 135, 507 using Prime Factorization

Given numbers are 902, 749, 135, 507

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 749 are 7 x 107

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 507 are 3 x 13 x 13

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

Steps to Calculate GCD of 902, 749, 135, 507 using LCM Formula

Given numbers are 902, 749, 135, 507

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

Apply this formula for all numbers.

Step1:

LCM(902, 749) = 675598

GCD(902, 749) = ( 902 x 749 ) / 675598

= 902 / 749

= 902


Step2:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1


Step3:

LCM(1, 507) = 507

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

= 1 / 507

= 1


So, Greatest Common Divisor of 902, 749, 135, 507 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 902, 749, 135, 507

Given numbers are 902, 749, 135, 507
The greatest common divisor of numbers 902, 749, 135, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 749, 135, 507 is 1.

FAQs on GCD of 902, 749, 135, 507 Calculator

1. What is the GCD of 902, 749, 135, 507?

GCD of given numbers 902, 749, 135, 507 is 1


2. How to calculate the greatest common divisor of 902, 749, 135, 507?

We can find the highest common divisor of 902, 749, 135, 507 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 902, 749, 135, 507 i.e 1.


3. How can I use the GCD of 902, 749, 135, 507Calculator?

Out the numbers 902, 749, 135, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.