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GCD of 437, 752, 312, 147 Calculator

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


Online GCD Calculator is useful to find the GCD of 437, 752, 312, 147 quickly. Get the easiest ways to solve the greatest common divisor of 437, 752, 312, 147 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 437, 752, 312, 147 with Factoring?

Given Input numbers are 437, 752, 312, 147

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

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (437, 752, 312, 147) = 1.

Find GCD of 437, 752, 312, 147 using Prime Factorization

Given numbers are 437, 752, 312, 147

The list of prime factors of all numbers are

Prime factors of 437 are 19 x 23

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 147 are 3 x 7 x 7

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

Steps to Calculate GCD of 437, 752, 312, 147 using LCM Formula

Given numbers are 437, 752, 312, 147

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

Apply this formula for all numbers.

Step1:

LCM(437, 752) = 328624

GCD(437, 752) = ( 437 x 752 ) / 328624

= 437 / 752

= 437


Step2:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1


Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


So, Greatest Common Divisor of 437, 752, 312, 147 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 437, 752, 312, 147

Given numbers are 437, 752, 312, 147
The greatest common divisor of numbers 437, 752, 312, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 752, 312, 147 is 1.

FAQs on GCD of 437, 752, 312, 147 Calculator

1. What is the GCD of 437, 752, 312, 147?

GCD of given numbers 437, 752, 312, 147 is 1


2. How to calculate the greatest common divisor of 437, 752, 312, 147?

We can find the highest common divisor of 437, 752, 312, 147 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 437, 752, 312, 147 i.e 1.


3. How can I use the GCD of 437, 752, 312, 147Calculator?

Out the numbers 437, 752, 312, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.