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GCD of 900, 341, 188, 125 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, 341, 188, 125 quickly. Get the easiest ways to solve the greatest common divisor of 900, 341, 188, 125 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 341, 188, 125 with Factoring?

Given Input numbers are 900, 341, 188, 125

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 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125


GCD of numbers is the greatest common divisor

So, the GCD (900, 341, 188, 125) = 1.

Find GCD of 900, 341, 188, 125 using Prime Factorization

Given numbers are 900, 341, 188, 125

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 341 are 11 x 31

Prime factors of 188 are 2 x 2 x 47

Prime factors of 125 are 5 x 5 x 5

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

Steps to Calculate GCD of 900, 341, 188, 125 using LCM Formula

Given numbers are 900, 341, 188, 125

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

Apply this formula for all numbers.

Step1:

LCM(900, 341) = 306900

GCD(900, 341) = ( 900 x 341 ) / 306900

= 900 / 341

= 900


Step2:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1


Step3:

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

= 1 / 125

= 1


So, Greatest Common Divisor of 900, 341, 188, 125 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 341, 188, 125

Given numbers are 900, 341, 188, 125
The greatest common divisor of numbers 900, 341, 188, 125 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 341, 188, 125 is 1.

FAQs on GCD of 900, 341, 188, 125 Calculator

1. What is the GCD of 900, 341, 188, 125?

GCD of given numbers 900, 341, 188, 125 is 1


2. How to calculate the greatest common divisor of 900, 341, 188, 125?

We can find the highest common divisor of 900, 341, 188, 125 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, 341, 188, 125 i.e 1.


3. How can I use the GCD of 900, 341, 188, 125Calculator?

Out the numbers 900, 341, 188, 125 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.