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GCD of 837, 120, 205, 220 Calculator

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


Online GCD Calculator is useful to find the GCD of 837, 120, 205, 220 quickly. Get the easiest ways to solve the greatest common divisor of 837, 120, 205, 220 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 837, 120, 205, 220 with Factoring?

Given Input numbers are 837, 120, 205, 220

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

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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


GCD of numbers is the greatest common divisor

So, the GCD (837, 120, 205, 220) = 1.

Find GCD of 837, 120, 205, 220 using Prime Factorization

Given numbers are 837, 120, 205, 220

The list of prime factors of all numbers are

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 205 are 5 x 41

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

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

Steps to Calculate GCD of 837, 120, 205, 220 using LCM Formula

Given numbers are 837, 120, 205, 220

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

Apply this formula for all numbers.

Step1:

LCM(837, 120) = 33480

GCD(837, 120) = ( 837 x 120 ) / 33480

= 837 / 120

= 837


Step2:

LCM(3, 205) = 615

GCD(3, 205) = ( 3 x 205 ) / 615

= 3 / 205

= 3


Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1


So, Greatest Common Divisor of 837, 120, 205, 220 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 837, 120, 205, 220

Given numbers are 837, 120, 205, 220
The greatest common divisor of numbers 837, 120, 205, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 837, 120, 205, 220 is 1.

FAQs on GCD of 837, 120, 205, 220 Calculator

1. What is the GCD of 837, 120, 205, 220?

GCD of given numbers 837, 120, 205, 220 is 1


2. How to calculate the greatest common divisor of 837, 120, 205, 220?

We can find the highest common divisor of 837, 120, 205, 220 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 837, 120, 205, 220 i.e 1.


3. How can I use the GCD of 837, 120, 205, 220Calculator?

Out the numbers 837, 120, 205, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.