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GCD of 120, 628, 267, 920 Calculator

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


Online GCD Calculator is useful to find the GCD of 120, 628, 267, 920 quickly. Get the easiest ways to solve the greatest common divisor of 120, 628, 267, 920 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 628, 267, 920 with Factoring?

Given Input numbers are 120, 628, 267, 920

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

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920


GCD of numbers is the greatest common divisor

So, the GCD (120, 628, 267, 920) = 1.

Find GCD of 120, 628, 267, 920 using Prime Factorization

Given numbers are 120, 628, 267, 920

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 267 are 3 x 89

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Steps to Calculate GCD of 120, 628, 267, 920 using LCM Formula

Given numbers are 120, 628, 267, 920

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

Apply this formula for all numbers.

Step1:

LCM(120, 628) = 18840

GCD(120, 628) = ( 120 x 628 ) / 18840

= 120 / 628

= 120


Step2:

LCM(4, 267) = 1068

GCD(4, 267) = ( 4 x 267 ) / 1068

= 4 / 267

= 4


Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1


So, Greatest Common Divisor of 120, 628, 267, 920 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 628, 267, 920

Given numbers are 120, 628, 267, 920
The greatest common divisor of numbers 120, 628, 267, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 628, 267, 920 is 1.

FAQs on GCD of 120, 628, 267, 920 Calculator

1. What is the GCD of 120, 628, 267, 920?

GCD of given numbers 120, 628, 267, 920 is 1


2. How to calculate the greatest common divisor of 120, 628, 267, 920?

We can find the highest common divisor of 120, 628, 267, 920 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 120, 628, 267, 920 i.e 1.


3. How can I use the GCD of 120, 628, 267, 920Calculator?

Out the numbers 120, 628, 267, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.