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GCD of 437, 989, 997, 500 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, 989, 997, 500 quickly. Get the easiest ways to solve the greatest common divisor of 437, 989, 997, 500 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 437, 989, 997, 500 with Factoring?

Given Input numbers are 437, 989, 997, 500

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

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


GCD of numbers is the greatest common divisor

So, the GCD (437, 989, 997, 500) = 1.

Find GCD of 437, 989, 997, 500 using Prime Factorization

Given numbers are 437, 989, 997, 500

The list of prime factors of all numbers are

Prime factors of 437 are 19 x 23

Prime factors of 989 are 23 x 43

Prime factors of 997 are 997

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

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

Steps to Calculate GCD of 437, 989, 997, 500 using LCM Formula

Given numbers are 437, 989, 997, 500

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

Apply this formula for all numbers.

Step1:

LCM(437, 989) = 18791

GCD(437, 989) = ( 437 x 989 ) / 18791

= 437 / 989

= 437


Step2:

LCM(23, 997) = 22931

GCD(23, 997) = ( 23 x 997 ) / 22931

= 23 / 997

= 23


Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1


So, Greatest Common Divisor of 437, 989, 997, 500 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 437, 989, 997, 500

Given numbers are 437, 989, 997, 500
The greatest common divisor of numbers 437, 989, 997, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 437, 989, 997, 500 is 1.

FAQs on GCD of 437, 989, 997, 500 Calculator

1. What is the GCD of 437, 989, 997, 500?

GCD of given numbers 437, 989, 997, 500 is 1


2. How to calculate the greatest common divisor of 437, 989, 997, 500?

We can find the highest common divisor of 437, 989, 997, 500 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, 989, 997, 500 i.e 1.


3. How can I use the GCD of 437, 989, 997, 500Calculator?

Out the numbers 437, 989, 997, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.