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GCD of 900, 478, 280, 652 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, 478, 280, 652 quickly. Get the easiest ways to solve the greatest common divisor of 900, 478, 280, 652 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 478, 280, 652 with Factoring?

Given Input numbers are 900, 478, 280, 652

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652


GCD of numbers is the greatest common divisor

So, the GCD (900, 478, 280, 652) = 2.

Find GCD of 900, 478, 280, 652 using Prime Factorization

Given numbers are 900, 478, 280, 652

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 478 are 2 x 239

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 21

Therefore, GCD of 900, 478, 280, 652 is 2.

Steps to Calculate GCD of 900, 478, 280, 652 using LCM Formula

Given numbers are 900, 478, 280, 652

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

Apply this formula for all numbers.

Step1:

LCM(900, 478) = 215100

GCD(900, 478) = ( 900 x 478 ) / 215100

= 900 / 478

= 900


Step2:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2


Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2


So, Greatest Common Divisor of 900, 478, 280, 652 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 478, 280, 652

Given numbers are 900, 478, 280, 652
The greatest common divisor of numbers 900, 478, 280, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 478, 280, 652 is 2.

FAQs on GCD of 900, 478, 280, 652 Calculator

1. What is the GCD of 900, 478, 280, 652?

GCD of given numbers 900, 478, 280, 652 is 2


2. How to calculate the greatest common divisor of 900, 478, 280, 652?

We can find the highest common divisor of 900, 478, 280, 652 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, 478, 280, 652 i.e 2.


3. How can I use the GCD of 900, 478, 280, 652Calculator?

Out the numbers 900, 478, 280, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.