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GCD of 120, 107, 761, 582 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, 107, 761, 582 quickly. Get the easiest ways to solve the greatest common divisor of 120, 107, 761, 582 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 120, 107, 761, 582 with Factoring?

Given Input numbers are 120, 107, 761, 582

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 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582


GCD of numbers is the greatest common divisor

So, the GCD (120, 107, 761, 582) = 1.

Find GCD of 120, 107, 761, 582 using Prime Factorization

Given numbers are 120, 107, 761, 582

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 107 are 107

Prime factors of 761 are 761

Prime factors of 582 are 2 x 3 x 97

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

Steps to Calculate GCD of 120, 107, 761, 582 using LCM Formula

Given numbers are 120, 107, 761, 582

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

Apply this formula for all numbers.

Step1:

LCM(120, 107) = 12840

GCD(120, 107) = ( 120 x 107 ) / 12840

= 120 / 107

= 120


Step2:

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

= 1 / 761

= 1


Step3:

LCM(1, 582) = 582

GCD(1, 582) = ( 1 x 582 ) / 582

= 1 / 582

= 1


So, Greatest Common Divisor of 120, 107, 761, 582 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 120, 107, 761, 582

Given numbers are 120, 107, 761, 582
The greatest common divisor of numbers 120, 107, 761, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 107, 761, 582 is 1.

FAQs on GCD of 120, 107, 761, 582 Calculator

1. What is the GCD of 120, 107, 761, 582?

GCD of given numbers 120, 107, 761, 582 is 1


2. How to calculate the greatest common divisor of 120, 107, 761, 582?

We can find the highest common divisor of 120, 107, 761, 582 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, 107, 761, 582 i.e 1.


3. How can I use the GCD of 120, 107, 761, 582Calculator?

Out the numbers 120, 107, 761, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.