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GCD of 772, 842, 120, 666 Calculator

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


Online GCD Calculator is useful to find the GCD of 772, 842, 120, 666 quickly. Get the easiest ways to solve the greatest common divisor of 772, 842, 120, 666 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 842, 120, 666 with Factoring?

Given Input numbers are 772, 842, 120, 666

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

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 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666


GCD of numbers is the greatest common divisor

So, the GCD (772, 842, 120, 666) = 2.

Find GCD of 772, 842, 120, 666 using Prime Factorization

Given numbers are 772, 842, 120, 666

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 842 are 2 x 421

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

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 772, 842, 120, 666 is 2.

Steps to Calculate GCD of 772, 842, 120, 666 using LCM Formula

Given numbers are 772, 842, 120, 666

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

Apply this formula for all numbers.

Step1:

LCM(772, 842) = 325012

GCD(772, 842) = ( 772 x 842 ) / 325012

= 772 / 842

= 772


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

= 2 / 666

= 2


So, Greatest Common Divisor of 772, 842, 120, 666 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 842, 120, 666

Given numbers are 772, 842, 120, 666
The greatest common divisor of numbers 772, 842, 120, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 842, 120, 666 is 2.

FAQs on GCD of 772, 842, 120, 666 Calculator

1. What is the GCD of 772, 842, 120, 666?

GCD of given numbers 772, 842, 120, 666 is 2


2. How to calculate the greatest common divisor of 772, 842, 120, 666?

We can find the highest common divisor of 772, 842, 120, 666 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 772, 842, 120, 666 i.e 2.


3. How can I use the GCD of 772, 842, 120, 666Calculator?

Out the numbers 772, 842, 120, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.