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GCD of 273, 900, 822, 962 Calculator

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


Online GCD Calculator is useful to find the GCD of 273, 900, 822, 962 quickly. Get the easiest ways to solve the greatest common divisor of 273, 900, 822, 962 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 273, 900, 822, 962 with Factoring?

Given Input numbers are 273, 900, 822, 962

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

Divisors of 273 :

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

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

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962


GCD of numbers is the greatest common divisor

So, the GCD (273, 900, 822, 962) = 1.

Find GCD of 273, 900, 822, 962 using Prime Factorization

Given numbers are 273, 900, 822, 962

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 962 are 2 x 13 x 37

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

Steps to Calculate GCD of 273, 900, 822, 962 using LCM Formula

Given numbers are 273, 900, 822, 962

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

Apply this formula for all numbers.

Step1:

LCM(273, 900) = 81900

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

= 273 / 900

= 273


Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3


Step3:

LCM(3, 962) = 2886

GCD(3, 962) = ( 3 x 962 ) / 2886

= 3 / 962

= 3


So, Greatest Common Divisor of 273, 900, 822, 962 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 273, 900, 822, 962

Given numbers are 273, 900, 822, 962
The greatest common divisor of numbers 273, 900, 822, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 900, 822, 962 is 1.

FAQs on GCD of 273, 900, 822, 962 Calculator

1. What is the GCD of 273, 900, 822, 962?

GCD of given numbers 273, 900, 822, 962 is 1


2. How to calculate the greatest common divisor of 273, 900, 822, 962?

We can find the highest common divisor of 273, 900, 822, 962 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 273, 900, 822, 962 i.e 1.


3. How can I use the GCD of 273, 900, 822, 962Calculator?

Out the numbers 273, 900, 822, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.