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GCD of 742, 572, 708, 666 Calculator

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


Online GCD Calculator is useful to find the GCD of 742, 572, 708, 666 quickly. Get the easiest ways to solve the greatest common divisor of 742, 572, 708, 666 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 742, 572, 708, 666 with Factoring?

Given Input numbers are 742, 572, 708, 666

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

Divisors of 742 :

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

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

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666


GCD of numbers is the greatest common divisor

So, the GCD (742, 572, 708, 666) = 2.

Find GCD of 742, 572, 708, 666 using Prime Factorization

Given numbers are 742, 572, 708, 666

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 666 are 2 x 3 x 3 x 37

The highest common occurrence is 21

Therefore, GCD of 742, 572, 708, 666 is 2.

Steps to Calculate GCD of 742, 572, 708, 666 using LCM Formula

Given numbers are 742, 572, 708, 666

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

Apply this formula for all numbers.

Step1:

LCM(742, 572) = 212212

GCD(742, 572) = ( 742 x 572 ) / 212212

= 742 / 572

= 742


Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2


Step3:

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

= 2 / 666

= 2


So, Greatest Common Divisor of 742, 572, 708, 666 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 742, 572, 708, 666

Given numbers are 742, 572, 708, 666
The greatest common divisor of numbers 742, 572, 708, 666 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 572, 708, 666 is 2.

FAQs on GCD of 742, 572, 708, 666 Calculator

1. What is the GCD of 742, 572, 708, 666?

GCD of given numbers 742, 572, 708, 666 is 2


2. How to calculate the greatest common divisor of 742, 572, 708, 666?

We can find the highest common divisor of 742, 572, 708, 666 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 742, 572, 708, 666 i.e 2.


3. How can I use the GCD of 742, 572, 708, 666Calculator?

Out the numbers 742, 572, 708, 666 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.