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GCD of 820, 124, 774, 588 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 124, 774, 588 quickly. Get the easiest ways to solve the greatest common divisor of 820, 124, 774, 588 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 124, 774, 588 with Factoring?

Given Input numbers are 820, 124, 774, 588

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588


GCD of numbers is the greatest common divisor

So, the GCD (820, 124, 774, 588) = 2.

Find GCD of 820, 124, 774, 588 using Prime Factorization

Given numbers are 820, 124, 774, 588

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 124 are 2 x 2 x 31

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 820, 124, 774, 588 is 2.

Steps to Calculate GCD of 820, 124, 774, 588 using LCM Formula

Given numbers are 820, 124, 774, 588

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

Apply this formula for all numbers.

Step1:

LCM(820, 124) = 25420

GCD(820, 124) = ( 820 x 124 ) / 25420

= 820 / 124

= 820


Step2:

LCM(4, 774) = 1548

GCD(4, 774) = ( 4 x 774 ) / 1548

= 4 / 774

= 4


Step3:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2


So, Greatest Common Divisor of 820, 124, 774, 588 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 124, 774, 588

Given numbers are 820, 124, 774, 588
The greatest common divisor of numbers 820, 124, 774, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 124, 774, 588 is 2.

FAQs on GCD of 820, 124, 774, 588 Calculator

1. What is the GCD of 820, 124, 774, 588?

GCD of given numbers 820, 124, 774, 588 is 2


2. How to calculate the greatest common divisor of 820, 124, 774, 588?

We can find the highest common divisor of 820, 124, 774, 588 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 820, 124, 774, 588 i.e 2.


3. How can I use the GCD of 820, 124, 774, 588Calculator?

Out the numbers 820, 124, 774, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.