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GCD of 900, 455, 331, 126 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 455, 331, 126 quickly. Get the easiest ways to solve the greatest common divisor of 900, 455, 331, 126 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 455, 331, 126 with Factoring?

Given Input numbers are 900, 455, 331, 126

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126


GCD of numbers is the greatest common divisor

So, the GCD (900, 455, 331, 126) = 1.

Find GCD of 900, 455, 331, 126 using Prime Factorization

Given numbers are 900, 455, 331, 126

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 455 are 5 x 7 x 13

Prime factors of 331 are 331

Prime factors of 126 are 2 x 3 x 3 x 7

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

Steps to Calculate GCD of 900, 455, 331, 126 using LCM Formula

Given numbers are 900, 455, 331, 126

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

Apply this formula for all numbers.

Step1:

LCM(900, 455) = 81900

GCD(900, 455) = ( 900 x 455 ) / 81900

= 900 / 455

= 900


Step2:

LCM(5, 331) = 1655

GCD(5, 331) = ( 5 x 331 ) / 1655

= 5 / 331

= 5


Step3:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1


So, Greatest Common Divisor of 900, 455, 331, 126 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 455, 331, 126

Given numbers are 900, 455, 331, 126
The greatest common divisor of numbers 900, 455, 331, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 455, 331, 126 is 1.

FAQs on GCD of 900, 455, 331, 126 Calculator

1. What is the GCD of 900, 455, 331, 126?

GCD of given numbers 900, 455, 331, 126 is 1


2. How to calculate the greatest common divisor of 900, 455, 331, 126?

We can find the highest common divisor of 900, 455, 331, 126 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 900, 455, 331, 126 i.e 1.


3. How can I use the GCD of 900, 455, 331, 126Calculator?

Out the numbers 900, 455, 331, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.