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GCD of 620, 476, 756, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 620, 476, 756, 704 quickly. Get the easiest ways to solve the greatest common divisor of 620, 476, 756, 704 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 620, 476, 756, 704 with Factoring?

Given Input numbers are 620, 476, 756, 704

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

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704


GCD of numbers is the greatest common divisor

So, the GCD (620, 476, 756, 704) = 4.

Find GCD of 620, 476, 756, 704 using Prime Factorization

Given numbers are 620, 476, 756, 704

The list of prime factors of all numbers are

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 22

Therefore, GCD of 620, 476, 756, 704 is 4.

Steps to Calculate GCD of 620, 476, 756, 704 using LCM Formula

Given numbers are 620, 476, 756, 704

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

Apply this formula for all numbers.

Step1:

LCM(620, 476) = 73780

GCD(620, 476) = ( 620 x 476 ) / 73780

= 620 / 476

= 620


Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4


Step3:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4


So, Greatest Common Divisor of 620, 476, 756, 704 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 620, 476, 756, 704

Given numbers are 620, 476, 756, 704
The greatest common divisor of numbers 620, 476, 756, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 476, 756, 704 is 4.

FAQs on GCD of 620, 476, 756, 704 Calculator

1. What is the GCD of 620, 476, 756, 704?

GCD of given numbers 620, 476, 756, 704 is 4


2. How to calculate the greatest common divisor of 620, 476, 756, 704?

We can find the highest common divisor of 620, 476, 756, 704 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 620, 476, 756, 704 i.e 4.


3. How can I use the GCD of 620, 476, 756, 704Calculator?

Out the numbers 620, 476, 756, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.