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GCD of 772, 894, 886, 624 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, 894, 886, 624 quickly. Get the easiest ways to solve the greatest common divisor of 772, 894, 886, 624 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 894, 886, 624 with Factoring?

Given Input numbers are 772, 894, 886, 624

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (772, 894, 886, 624) = 2.

Find GCD of 772, 894, 886, 624 using Prime Factorization

Given numbers are 772, 894, 886, 624

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 894 are 2 x 3 x 149

Prime factors of 886 are 2 x 443

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 21

Therefore, GCD of 772, 894, 886, 624 is 2.

Steps to Calculate GCD of 772, 894, 886, 624 using LCM Formula

Given numbers are 772, 894, 886, 624

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

Apply this formula for all numbers.

Step1:

LCM(772, 894) = 345084

GCD(772, 894) = ( 772 x 894 ) / 345084

= 772 / 894

= 772


Step2:

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

= 2 / 886

= 2


Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2


So, Greatest Common Divisor of 772, 894, 886, 624 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 894, 886, 624

Given numbers are 772, 894, 886, 624
The greatest common divisor of numbers 772, 894, 886, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 894, 886, 624 is 2.

FAQs on GCD of 772, 894, 886, 624 Calculator

1. What is the GCD of 772, 894, 886, 624?

GCD of given numbers 772, 894, 886, 624 is 2


2. How to calculate the greatest common divisor of 772, 894, 886, 624?

We can find the highest common divisor of 772, 894, 886, 624 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, 894, 886, 624 i.e 2.


3. How can I use the GCD of 772, 894, 886, 624Calculator?

Out the numbers 772, 894, 886, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.