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GCD of 558, 324, 762, 630 Calculator

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


Online GCD Calculator is useful to find the GCD of 558, 324, 762, 630 quickly. Get the easiest ways to solve the greatest common divisor of 558, 324, 762, 630 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 558, 324, 762, 630 with Factoring?

Given Input numbers are 558, 324, 762, 630

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630


GCD of numbers is the greatest common divisor

So, the GCD (558, 324, 762, 630) = 6.

Find GCD of 558, 324, 762, 630 using Prime Factorization

Given numbers are 558, 324, 762, 630

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 762 are 2 x 3 x 127

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 21 x 31

Therefore, GCD of 558, 324, 762, 630 is 6.

Steps to Calculate GCD of 558, 324, 762, 630 using LCM Formula

Given numbers are 558, 324, 762, 630

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

Apply this formula for all numbers.

Step1:

LCM(558, 324) = 10044

GCD(558, 324) = ( 558 x 324 ) / 10044

= 558 / 324

= 558


Step2:

LCM(18, 762) = 2286

GCD(18, 762) = ( 18 x 762 ) / 2286

= 18 / 762

= 18


Step3:

LCM(6, 630) = 630

GCD(6, 630) = ( 6 x 630 ) / 630

= 6 / 630

= 6


So, Greatest Common Divisor of 558, 324, 762, 630 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 558, 324, 762, 630

Given numbers are 558, 324, 762, 630
The greatest common divisor of numbers 558, 324, 762, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 324, 762, 630 is 6.

FAQs on GCD of 558, 324, 762, 630 Calculator

1. What is the GCD of 558, 324, 762, 630?

GCD of given numbers 558, 324, 762, 630 is 6


2. How to calculate the greatest common divisor of 558, 324, 762, 630?

We can find the highest common divisor of 558, 324, 762, 630 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 558, 324, 762, 630 i.e 6.


3. How can I use the GCD of 558, 324, 762, 630Calculator?

Out the numbers 558, 324, 762, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.