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GCD of 620, 148, 470, 576 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, 148, 470, 576 quickly. Get the easiest ways to solve the greatest common divisor of 620, 148, 470, 576 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 620, 148, 470, 576 with Factoring?

Given Input numbers are 620, 148, 470, 576

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576


GCD of numbers is the greatest common divisor

So, the GCD (620, 148, 470, 576) = 2.

Find GCD of 620, 148, 470, 576 using Prime Factorization

Given numbers are 620, 148, 470, 576

The list of prime factors of all numbers are

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

Prime factors of 148 are 2 x 2 x 37

Prime factors of 470 are 2 x 5 x 47

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 620, 148, 470, 576 is 2.

Steps to Calculate GCD of 620, 148, 470, 576 using LCM Formula

Given numbers are 620, 148, 470, 576

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

Apply this formula for all numbers.

Step1:

LCM(620, 148) = 22940

GCD(620, 148) = ( 620 x 148 ) / 22940

= 620 / 148

= 620


Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4


Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2


So, Greatest Common Divisor of 620, 148, 470, 576 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 620, 148, 470, 576

Given numbers are 620, 148, 470, 576
The greatest common divisor of numbers 620, 148, 470, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 620, 148, 470, 576 is 2.

FAQs on GCD of 620, 148, 470, 576 Calculator

1. What is the GCD of 620, 148, 470, 576?

GCD of given numbers 620, 148, 470, 576 is 2


2. How to calculate the greatest common divisor of 620, 148, 470, 576?

We can find the highest common divisor of 620, 148, 470, 576 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, 148, 470, 576 i.e 2.


3. How can I use the GCD of 620, 148, 470, 576Calculator?

Out the numbers 620, 148, 470, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.