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GCD of 876, 120, 47, 660 Calculator

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


Online GCD Calculator is useful to find the GCD of 876, 120, 47, 660 quickly. Get the easiest ways to solve the greatest common divisor of 876, 120, 47, 660 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 876, 120, 47, 660 with Factoring?

Given Input numbers are 876, 120, 47, 660

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

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 47 :

The positive integer divisors of 47 that completely divides 47 are.

1, 47

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660


GCD of numbers is the greatest common divisor

So, the GCD (876, 120, 47, 660) = 1.

Find GCD of 876, 120, 47, 660 using Prime Factorization

Given numbers are 876, 120, 47, 660

The list of prime factors of all numbers are

Prime factors of 876 are 2 x 2 x 3 x 73

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

Prime factors of 47 are 47

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Steps to Calculate GCD of 876, 120, 47, 660 using LCM Formula

Given numbers are 876, 120, 47, 660

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

Apply this formula for all numbers.

Step1:

LCM(876, 120) = 8760

GCD(876, 120) = ( 876 x 120 ) / 8760

= 876 / 120

= 876


Step2:

LCM(12, 47) = 564

GCD(12, 47) = ( 12 x 47 ) / 564

= 12 / 47

= 12


Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


So, Greatest Common Divisor of 876, 120, 47, 660 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 876, 120, 47, 660

Given numbers are 876, 120, 47, 660
The greatest common divisor of numbers 876, 120, 47, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 120, 47, 660 is 1.

FAQs on GCD of 876, 120, 47, 660 Calculator

1. What is the GCD of 876, 120, 47, 660?

GCD of given numbers 876, 120, 47, 660 is 1


2. How to calculate the greatest common divisor of 876, 120, 47, 660?

We can find the highest common divisor of 876, 120, 47, 660 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 876, 120, 47, 660 i.e 1.


3. How can I use the GCD of 876, 120, 47, 660Calculator?

Out the numbers 876, 120, 47, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.