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GCD of 120, 969, 904, 907 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, 969, 904, 907 quickly. Get the easiest ways to solve the greatest common divisor of 120, 969, 904, 907 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 969, 904, 907 with Factoring?

Given Input numbers are 120, 969, 904, 907

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907


GCD of numbers is the greatest common divisor

So, the GCD (120, 969, 904, 907) = 1.

Find GCD of 120, 969, 904, 907 using Prime Factorization

Given numbers are 120, 969, 904, 907

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 969 are 3 x 17 x 19

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 907 are 907

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

Steps to Calculate GCD of 120, 969, 904, 907 using LCM Formula

Given numbers are 120, 969, 904, 907

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

Apply this formula for all numbers.

Step1:

LCM(120, 969) = 38760

GCD(120, 969) = ( 120 x 969 ) / 38760

= 120 / 969

= 120


Step2:

LCM(3, 904) = 2712

GCD(3, 904) = ( 3 x 904 ) / 2712

= 3 / 904

= 3


Step3:

LCM(1, 907) = 907

GCD(1, 907) = ( 1 x 907 ) / 907

= 1 / 907

= 1


So, Greatest Common Divisor of 120, 969, 904, 907 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 969, 904, 907

Given numbers are 120, 969, 904, 907
The greatest common divisor of numbers 120, 969, 904, 907 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 969, 904, 907 is 1.

FAQs on GCD of 120, 969, 904, 907 Calculator

1. What is the GCD of 120, 969, 904, 907?

GCD of given numbers 120, 969, 904, 907 is 1


2. How to calculate the greatest common divisor of 120, 969, 904, 907?

We can find the highest common divisor of 120, 969, 904, 907 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, 969, 904, 907 i.e 1.


3. How can I use the GCD of 120, 969, 904, 907Calculator?

Out the numbers 120, 969, 904, 907 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.