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GCD of 760, 117, 480, 132 Calculator

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


Online GCD Calculator is useful to find the GCD of 760, 117, 480, 132 quickly. Get the easiest ways to solve the greatest common divisor of 760, 117, 480, 132 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 117, 480, 132 with Factoring?

Given Input numbers are 760, 117, 480, 132

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132


GCD of numbers is the greatest common divisor

So, the GCD (760, 117, 480, 132) = 1.

Find GCD of 760, 117, 480, 132 using Prime Factorization

Given numbers are 760, 117, 480, 132

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 117 are 3 x 3 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 132 are 2 x 2 x 3 x 11

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

Steps to Calculate GCD of 760, 117, 480, 132 using LCM Formula

Given numbers are 760, 117, 480, 132

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

Apply this formula for all numbers.

Step1:

LCM(760, 117) = 88920

GCD(760, 117) = ( 760 x 117 ) / 88920

= 760 / 117

= 760


Step2:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1


Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1


So, Greatest Common Divisor of 760, 117, 480, 132 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 117, 480, 132

Given numbers are 760, 117, 480, 132
The greatest common divisor of numbers 760, 117, 480, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 117, 480, 132 is 1.

FAQs on GCD of 760, 117, 480, 132 Calculator

1. What is the GCD of 760, 117, 480, 132?

GCD of given numbers 760, 117, 480, 132 is 1


2. How to calculate the greatest common divisor of 760, 117, 480, 132?

We can find the highest common divisor of 760, 117, 480, 132 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 760, 117, 480, 132 i.e 1.


3. How can I use the GCD of 760, 117, 480, 132Calculator?

Out the numbers 760, 117, 480, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.