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GCD of 200, 220, 451, 900 Calculator

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


Online GCD Calculator is useful to find the GCD of 200, 220, 451, 900 quickly. Get the easiest ways to solve the greatest common divisor of 200, 220, 451, 900 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 200, 220, 451, 900 with Factoring?

Given Input numbers are 200, 220, 451, 900

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451

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


GCD of numbers is the greatest common divisor

So, the GCD (200, 220, 451, 900) = 1.

Find GCD of 200, 220, 451, 900 using Prime Factorization

Given numbers are 200, 220, 451, 900

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 451 are 11 x 41

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

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

Steps to Calculate GCD of 200, 220, 451, 900 using LCM Formula

Given numbers are 200, 220, 451, 900

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

Apply this formula for all numbers.

Step1:

LCM(200, 220) = 2200

GCD(200, 220) = ( 200 x 220 ) / 2200

= 200 / 220

= 200


Step2:

LCM(20, 451) = 9020

GCD(20, 451) = ( 20 x 451 ) / 9020

= 20 / 451

= 20


Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1


So, Greatest Common Divisor of 200, 220, 451, 900 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 200, 220, 451, 900

Given numbers are 200, 220, 451, 900
The greatest common divisor of numbers 200, 220, 451, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 220, 451, 900 is 1.

FAQs on GCD of 200, 220, 451, 900 Calculator

1. What is the GCD of 200, 220, 451, 900?

GCD of given numbers 200, 220, 451, 900 is 1


2. How to calculate the greatest common divisor of 200, 220, 451, 900?

We can find the highest common divisor of 200, 220, 451, 900 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 200, 220, 451, 900 i.e 1.


3. How can I use the GCD of 200, 220, 451, 900Calculator?

Out the numbers 200, 220, 451, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.