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GCD of 676, 908, 899, 154 Calculator

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


Online GCD Calculator is useful to find the GCD of 676, 908, 899, 154 quickly. Get the easiest ways to solve the greatest common divisor of 676, 908, 899, 154 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 676, 908, 899, 154 with Factoring?

Given Input numbers are 676, 908, 899, 154

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 899 :

The positive integer divisors of 899 that completely divides 899 are.

1, 29, 31, 899

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154


GCD of numbers is the greatest common divisor

So, the GCD (676, 908, 899, 154) = 1.

Find GCD of 676, 908, 899, 154 using Prime Factorization

Given numbers are 676, 908, 899, 154

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 908 are 2 x 2 x 227

Prime factors of 899 are 29 x 31

Prime factors of 154 are 2 x 7 x 11

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

Steps to Calculate GCD of 676, 908, 899, 154 using LCM Formula

Given numbers are 676, 908, 899, 154

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

Apply this formula for all numbers.

Step1:

LCM(676, 908) = 153452

GCD(676, 908) = ( 676 x 908 ) / 153452

= 676 / 908

= 676


Step2:

LCM(4, 899) = 3596

GCD(4, 899) = ( 4 x 899 ) / 3596

= 4 / 899

= 4


Step3:

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

= 1 / 154

= 1


So, Greatest Common Divisor of 676, 908, 899, 154 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 676, 908, 899, 154

Given numbers are 676, 908, 899, 154
The greatest common divisor of numbers 676, 908, 899, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 908, 899, 154 is 1.

FAQs on GCD of 676, 908, 899, 154 Calculator

1. What is the GCD of 676, 908, 899, 154?

GCD of given numbers 676, 908, 899, 154 is 1


2. How to calculate the greatest common divisor of 676, 908, 899, 154?

We can find the highest common divisor of 676, 908, 899, 154 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 676, 908, 899, 154 i.e 1.


3. How can I use the GCD of 676, 908, 899, 154Calculator?

Out the numbers 676, 908, 899, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.