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GCD of 682, 764, 50, 766 Calculator

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


Online GCD Calculator is useful to find the GCD of 682, 764, 50, 766 quickly. Get the easiest ways to solve the greatest common divisor of 682, 764, 50, 766 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 764, 50, 766 with Factoring?

Given Input numbers are 682, 764, 50, 766

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766


GCD of numbers is the greatest common divisor

So, the GCD (682, 764, 50, 766) = 2.

Find GCD of 682, 764, 50, 766 using Prime Factorization

Given numbers are 682, 764, 50, 766

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 764 are 2 x 2 x 191

Prime factors of 50 are 2 x 5 x 5

Prime factors of 766 are 2 x 383

The highest common occurrence is 21

Therefore, GCD of 682, 764, 50, 766 is 2.

Steps to Calculate GCD of 682, 764, 50, 766 using LCM Formula

Given numbers are 682, 764, 50, 766

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

Apply this formula for all numbers.

Step1:

LCM(682, 764) = 260524

GCD(682, 764) = ( 682 x 764 ) / 260524

= 682 / 764

= 682


Step2:

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

= 2 / 50

= 2


Step3:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2


So, Greatest Common Divisor of 682, 764, 50, 766 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 764, 50, 766

Given numbers are 682, 764, 50, 766
The greatest common divisor of numbers 682, 764, 50, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 764, 50, 766 is 2.

FAQs on GCD of 682, 764, 50, 766 Calculator

1. What is the GCD of 682, 764, 50, 766?

GCD of given numbers 682, 764, 50, 766 is 2


2. How to calculate the greatest common divisor of 682, 764, 50, 766?

We can find the highest common divisor of 682, 764, 50, 766 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 682, 764, 50, 766 i.e 2.


3. How can I use the GCD of 682, 764, 50, 766Calculator?

Out the numbers 682, 764, 50, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.