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GCD of 772, 982, 126, 642 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, 982, 126, 642 quickly. Get the easiest ways to solve the greatest common divisor of 772, 982, 126, 642 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 982, 126, 642 with Factoring?

Given Input numbers are 772, 982, 126, 642

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642


GCD of numbers is the greatest common divisor

So, the GCD (772, 982, 126, 642) = 2.

Find GCD of 772, 982, 126, 642 using Prime Factorization

Given numbers are 772, 982, 126, 642

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 982 are 2 x 491

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 21

Therefore, GCD of 772, 982, 126, 642 is 2.

Steps to Calculate GCD of 772, 982, 126, 642 using LCM Formula

Given numbers are 772, 982, 126, 642

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

Apply this formula for all numbers.

Step1:

LCM(772, 982) = 379052

GCD(772, 982) = ( 772 x 982 ) / 379052

= 772 / 982

= 772


Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2


Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2


So, Greatest Common Divisor of 772, 982, 126, 642 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 982, 126, 642

Given numbers are 772, 982, 126, 642
The greatest common divisor of numbers 772, 982, 126, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 982, 126, 642 is 2.

FAQs on GCD of 772, 982, 126, 642 Calculator

1. What is the GCD of 772, 982, 126, 642?

GCD of given numbers 772, 982, 126, 642 is 2


2. How to calculate the greatest common divisor of 772, 982, 126, 642?

We can find the highest common divisor of 772, 982, 126, 642 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, 982, 126, 642 i.e 2.


3. How can I use the GCD of 772, 982, 126, 642Calculator?

Out the numbers 772, 982, 126, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.