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GCD of 348, 708, 220, 812 Calculator

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


Online GCD Calculator is useful to find the GCD of 348, 708, 220, 812 quickly. Get the easiest ways to solve the greatest common divisor of 348, 708, 220, 812 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 348, 708, 220, 812 with Factoring?

Given Input numbers are 348, 708, 220, 812

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812


GCD of numbers is the greatest common divisor

So, the GCD (348, 708, 220, 812) = 4.

Find GCD of 348, 708, 220, 812 using Prime Factorization

Given numbers are 348, 708, 220, 812

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 708 are 2 x 2 x 3 x 59

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

Prime factors of 812 are 2 x 2 x 7 x 29

The highest common occurrence is 22

Therefore, GCD of 348, 708, 220, 812 is 4.

Steps to Calculate GCD of 348, 708, 220, 812 using LCM Formula

Given numbers are 348, 708, 220, 812

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

Apply this formula for all numbers.

Step1:

LCM(348, 708) = 20532

GCD(348, 708) = ( 348 x 708 ) / 20532

= 348 / 708

= 348


Step2:

LCM(12, 220) = 660

GCD(12, 220) = ( 12 x 220 ) / 660

= 12 / 220

= 12


Step3:

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

= 4 / 812

= 4


So, Greatest Common Divisor of 348, 708, 220, 812 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 348, 708, 220, 812

Given numbers are 348, 708, 220, 812
The greatest common divisor of numbers 348, 708, 220, 812 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 708, 220, 812 is 4.

FAQs on GCD of 348, 708, 220, 812 Calculator

1. What is the GCD of 348, 708, 220, 812?

GCD of given numbers 348, 708, 220, 812 is 4


2. How to calculate the greatest common divisor of 348, 708, 220, 812?

We can find the highest common divisor of 348, 708, 220, 812 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 348, 708, 220, 812 i.e 4.


3. How can I use the GCD of 348, 708, 220, 812Calculator?

Out the numbers 348, 708, 220, 812 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.