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GCD of 702, 772, 242, 764 Calculator

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


Online GCD Calculator is useful to find the GCD of 702, 772, 242, 764 quickly. Get the easiest ways to solve the greatest common divisor of 702, 772, 242, 764 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 772, 242, 764 with Factoring?

Given Input numbers are 702, 772, 242, 764

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 764 :

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

1, 2, 4, 191, 382, 764


GCD of numbers is the greatest common divisor

So, the GCD (702, 772, 242, 764) = 2.

Find GCD of 702, 772, 242, 764 using Prime Factorization

Given numbers are 702, 772, 242, 764

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 772 are 2 x 2 x 193

Prime factors of 242 are 2 x 11 x 11

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 21

Therefore, GCD of 702, 772, 242, 764 is 2.

Steps to Calculate GCD of 702, 772, 242, 764 using LCM Formula

Given numbers are 702, 772, 242, 764

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

Apply this formula for all numbers.

Step1:

LCM(702, 772) = 270972

GCD(702, 772) = ( 702 x 772 ) / 270972

= 702 / 772

= 702


Step2:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2


Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2


So, Greatest Common Divisor of 702, 772, 242, 764 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 772, 242, 764

Given numbers are 702, 772, 242, 764
The greatest common divisor of numbers 702, 772, 242, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 772, 242, 764 is 2.

FAQs on GCD of 702, 772, 242, 764 Calculator

1. What is the GCD of 702, 772, 242, 764?

GCD of given numbers 702, 772, 242, 764 is 2


2. How to calculate the greatest common divisor of 702, 772, 242, 764?

We can find the highest common divisor of 702, 772, 242, 764 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 702, 772, 242, 764 i.e 2.


3. How can I use the GCD of 702, 772, 242, 764Calculator?

Out the numbers 702, 772, 242, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.