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GCD of 648, 500, 742 Calculator

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

Online GCD Calculator is useful to find the GCD of 648, 500, 742 quickly. Get the easiest ways to solve the greatest common divisor of 648, 500, 742 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 648, 500, 742 with Factoring?

Given Input numbers are 648, 500, 742

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (648, 500, 742) = 2.

Find GCD of 648, 500, 742 using Prime Factorization

Given numbers are 648, 500, 742

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 21

Therefore, GCD of 648, 500, 742 is 2.

Steps to Calculate GCD of 648, 500, 742 using LCM Formula

Given numbers are 648, 500, 742

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

Apply this formula for all numbers.

Step1:

LCM(648, 500) = 81000

GCD(648, 500) = ( 648 x 500 ) / 81000

= 648 / 500

= 648

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4


So, Greatest Common Divisor of 648, 500, 742 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 648, 500, 742

Given numbers are 648, 500, 742
The greatest common divisor of numbers 648, 500, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 500, 742 is 2.

FAQs on GCD of 648, 500, 742 Calculator

1. What is the GCD of 648, 500, 742?

GCD of given numbers 648, 500, 742 is 2

2. How to calculate the greatest common divisor of 648, 500, 742?

We can find the highest common divisor of 648, 500, 742 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 648, 500, 742 i.e 2.

3. How can I use the GCD of 648, 500, 742Calculator?

Out the numbers 648, 500, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.