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GCD of 900, 273, 640, 680 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, 273, 640, 680 quickly. Get the easiest ways to solve the greatest common divisor of 900, 273, 640, 680 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 273, 640, 680 with Factoring?

Given Input numbers are 900, 273, 640, 680

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 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680


GCD of numbers is the greatest common divisor

So, the GCD (900, 273, 640, 680) = 1.

Find GCD of 900, 273, 640, 680 using Prime Factorization

Given numbers are 900, 273, 640, 680

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 273 are 3 x 7 x 13

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 900, 273, 640, 680 using LCM Formula

Given numbers are 900, 273, 640, 680

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

Apply this formula for all numbers.

Step1:

LCM(900, 273) = 81900

GCD(900, 273) = ( 900 x 273 ) / 81900

= 900 / 273

= 900


Step2:

LCM(3, 640) = 1920

GCD(3, 640) = ( 3 x 640 ) / 1920

= 3 / 640

= 3


Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1


So, Greatest Common Divisor of 900, 273, 640, 680 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 273, 640, 680

Given numbers are 900, 273, 640, 680
The greatest common divisor of numbers 900, 273, 640, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 273, 640, 680 is 1.

FAQs on GCD of 900, 273, 640, 680 Calculator

1. What is the GCD of 900, 273, 640, 680?

GCD of given numbers 900, 273, 640, 680 is 1


2. How to calculate the greatest common divisor of 900, 273, 640, 680?

We can find the highest common divisor of 900, 273, 640, 680 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, 273, 640, 680 i.e 1.


3. How can I use the GCD of 900, 273, 640, 680Calculator?

Out the numbers 900, 273, 640, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.