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GCD of 438, 616, 753, 612 Calculator

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


Online GCD Calculator is useful to find the GCD of 438, 616, 753, 612 quickly. Get the easiest ways to solve the greatest common divisor of 438, 616, 753, 612 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 616, 753, 612 with Factoring?

Given Input numbers are 438, 616, 753, 612

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612


GCD of numbers is the greatest common divisor

So, the GCD (438, 616, 753, 612) = 1.

Find GCD of 438, 616, 753, 612 using Prime Factorization

Given numbers are 438, 616, 753, 612

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 753 are 3 x 251

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

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

Steps to Calculate GCD of 438, 616, 753, 612 using LCM Formula

Given numbers are 438, 616, 753, 612

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

Apply this formula for all numbers.

Step1:

LCM(438, 616) = 134904

GCD(438, 616) = ( 438 x 616 ) / 134904

= 438 / 616

= 438


Step2:

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

= 2 / 753

= 2


Step3:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1


So, Greatest Common Divisor of 438, 616, 753, 612 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 616, 753, 612

Given numbers are 438, 616, 753, 612
The greatest common divisor of numbers 438, 616, 753, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 616, 753, 612 is 1.

FAQs on GCD of 438, 616, 753, 612 Calculator

1. What is the GCD of 438, 616, 753, 612?

GCD of given numbers 438, 616, 753, 612 is 1


2. How to calculate the greatest common divisor of 438, 616, 753, 612?

We can find the highest common divisor of 438, 616, 753, 612 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 438, 616, 753, 612 i.e 1.


3. How can I use the GCD of 438, 616, 753, 612Calculator?

Out the numbers 438, 616, 753, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.