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GCD of 685, 149, 902 Calculator

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


Online GCD Calculator is useful to find the GCD of 685, 149, 902 quickly. Get the easiest ways to solve the greatest common divisor of 685, 149, 902 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 685, 149, 902 with Factoring?

Given Input numbers are 685, 149, 902

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 902 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (685, 149, 902) = 1.

Find GCD of 685, 149, 902 using Prime Factorization

Given numbers are 685, 149, 902

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 149 are 149

Prime factors of 902 are 2 x 11 x 41

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

Steps to Calculate GCD of 685, 149, 902 using LCM Formula

Given numbers are 685, 149, 902

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

Apply this formula for all numbers.

Step1:

LCM(685, 149) = 102065

GCD(685, 149) = ( 685 x 149 ) / 102065

= 685 / 149

= 685


Step2:

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

= 1 / 902

= 1


So, Greatest Common Divisor of 685, 149, 902 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 685, 149, 902

Given numbers are 685, 149, 902
The greatest common divisor of numbers 685, 149, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 149, 902 is 1.

FAQs on GCD of 685, 149, 902 Calculator

1. What is the GCD of 685, 149, 902?

GCD of given numbers 685, 149, 902 is 1


2. How to calculate the greatest common divisor of 685, 149, 902?

We can find the highest common divisor of 685, 149, 902 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 685, 149, 902 i.e 1.


3. How can I use the GCD of 685, 149, 902Calculator?

Out the numbers 685, 149, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.