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GCD of 902, 354, 249 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, 354, 249 quickly. Get the easiest ways to solve the greatest common divisor of 902, 354, 249 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 902, 354, 249 with Factoring?

Given Input numbers are 902, 354, 249

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249


GCD of numbers is the greatest common divisor

So, the GCD (902, 354, 249) = 1.

Find GCD of 902, 354, 249 using Prime Factorization

Given numbers are 902, 354, 249

The list of prime factors of all numbers are

Prime factors of 902 are 2 x 11 x 41

Prime factors of 354 are 2 x 3 x 59

Prime factors of 249 are 3 x 83

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

Steps to Calculate GCD of 902, 354, 249 using LCM Formula

Given numbers are 902, 354, 249

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

Apply this formula for all numbers.

Step1:

LCM(902, 354) = 159654

GCD(902, 354) = ( 902 x 354 ) / 159654

= 902 / 354

= 902


Step2:

LCM(2, 249) = 498

GCD(2, 249) = ( 2 x 249 ) / 498

= 2 / 249

= 2


So, Greatest Common Divisor of 902, 354, 249 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 902, 354, 249

Given numbers are 902, 354, 249
The greatest common divisor of numbers 902, 354, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 902, 354, 249 is 1.

FAQs on GCD of 902, 354, 249 Calculator

1. What is the GCD of 902, 354, 249?

GCD of given numbers 902, 354, 249 is 1


2. How to calculate the greatest common divisor of 902, 354, 249?

We can find the highest common divisor of 902, 354, 249 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, 354, 249 i.e 1.


3. How can I use the GCD of 902, 354, 249Calculator?

Out the numbers 902, 354, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.