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GCD of 687, 892, 122, 120 Calculator

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


Online GCD Calculator is useful to find the GCD of 687, 892, 122, 120 quickly. Get the easiest ways to solve the greatest common divisor of 687, 892, 122, 120 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 687, 892, 122, 120 with Factoring?

Given Input numbers are 687, 892, 122, 120

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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


GCD of numbers is the greatest common divisor

So, the GCD (687, 892, 122, 120) = 1.

Find GCD of 687, 892, 122, 120 using Prime Factorization

Given numbers are 687, 892, 122, 120

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 892 are 2 x 2 x 223

Prime factors of 122 are 2 x 61

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

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

Steps to Calculate GCD of 687, 892, 122, 120 using LCM Formula

Given numbers are 687, 892, 122, 120

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

Apply this formula for all numbers.

Step1:

LCM(687, 892) = 612804

GCD(687, 892) = ( 687 x 892 ) / 612804

= 687 / 892

= 687


Step2:

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

= 1 / 122

= 1


Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


So, Greatest Common Divisor of 687, 892, 122, 120 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 687, 892, 122, 120

Given numbers are 687, 892, 122, 120
The greatest common divisor of numbers 687, 892, 122, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 892, 122, 120 is 1.

FAQs on GCD of 687, 892, 122, 120 Calculator

1. What is the GCD of 687, 892, 122, 120?

GCD of given numbers 687, 892, 122, 120 is 1


2. How to calculate the greatest common divisor of 687, 892, 122, 120?

We can find the highest common divisor of 687, 892, 122, 120 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 687, 892, 122, 120 i.e 1.


3. How can I use the GCD of 687, 892, 122, 120Calculator?

Out the numbers 687, 892, 122, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.