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GCD of 747, 212, 442, 824 Calculator

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


Online GCD Calculator is useful to find the GCD of 747, 212, 442, 824 quickly. Get the easiest ways to solve the greatest common divisor of 747, 212, 442, 824 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 212, 442, 824 with Factoring?

Given Input numbers are 747, 212, 442, 824

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824


GCD of numbers is the greatest common divisor

So, the GCD (747, 212, 442, 824) = 1.

Find GCD of 747, 212, 442, 824 using Prime Factorization

Given numbers are 747, 212, 442, 824

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 212 are 2 x 2 x 53

Prime factors of 442 are 2 x 13 x 17

Prime factors of 824 are 2 x 2 x 2 x 103

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 747, 212, 442, 824 using LCM Formula

Given numbers are 747, 212, 442, 824

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

Apply this formula for all numbers.

Step1:

LCM(747, 212) = 158364

GCD(747, 212) = ( 747 x 212 ) / 158364

= 747 / 212

= 747


Step2:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1


Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1


So, Greatest Common Divisor of 747, 212, 442, 824 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 212, 442, 824

Given numbers are 747, 212, 442, 824
The greatest common divisor of numbers 747, 212, 442, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 212, 442, 824 is 1.

FAQs on GCD of 747, 212, 442, 824 Calculator

1. What is the GCD of 747, 212, 442, 824?

GCD of given numbers 747, 212, 442, 824 is 1


2. How to calculate the greatest common divisor of 747, 212, 442, 824?

We can find the highest common divisor of 747, 212, 442, 824 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 747, 212, 442, 824 i.e 1.


3. How can I use the GCD of 747, 212, 442, 824Calculator?

Out the numbers 747, 212, 442, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.