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GCD of 702, 228, 220, 758 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, 228, 220, 758 quickly. Get the easiest ways to solve the greatest common divisor of 702, 228, 220, 758 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 702, 228, 220, 758 with Factoring?

Given Input numbers are 702, 228, 220, 758

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758


GCD of numbers is the greatest common divisor

So, the GCD (702, 228, 220, 758) = 2.

Find GCD of 702, 228, 220, 758 using Prime Factorization

Given numbers are 702, 228, 220, 758

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 228 are 2 x 2 x 3 x 19

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 758 are 2 x 379

The highest common occurrence is 21

Therefore, GCD of 702, 228, 220, 758 is 2.

Steps to Calculate GCD of 702, 228, 220, 758 using LCM Formula

Given numbers are 702, 228, 220, 758

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

Apply this formula for all numbers.

Step1:

LCM(702, 228) = 26676

GCD(702, 228) = ( 702 x 228 ) / 26676

= 702 / 228

= 702


Step2:

LCM(6, 220) = 660

GCD(6, 220) = ( 6 x 220 ) / 660

= 6 / 220

= 6


Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2


So, Greatest Common Divisor of 702, 228, 220, 758 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 702, 228, 220, 758

Given numbers are 702, 228, 220, 758
The greatest common divisor of numbers 702, 228, 220, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 228, 220, 758 is 2.

FAQs on GCD of 702, 228, 220, 758 Calculator

1. What is the GCD of 702, 228, 220, 758?

GCD of given numbers 702, 228, 220, 758 is 2


2. How to calculate the greatest common divisor of 702, 228, 220, 758?

We can find the highest common divisor of 702, 228, 220, 758 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, 228, 220, 758 i.e 2.


3. How can I use the GCD of 702, 228, 220, 758Calculator?

Out the numbers 702, 228, 220, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.