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GCD of 172, 972, 503 Calculator

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


Online GCD Calculator is useful to find the GCD of 172, 972, 503 quickly. Get the easiest ways to solve the greatest common divisor of 172, 972, 503 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 172, 972, 503 with Factoring?

Given Input numbers are 172, 972, 503

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503


GCD of numbers is the greatest common divisor

So, the GCD (172, 972, 503) = 1.

Find GCD of 172, 972, 503 using Prime Factorization

Given numbers are 172, 972, 503

The list of prime factors of all numbers are

Prime factors of 172 are 2 x 2 x 43

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 503 are 503

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

Steps to Calculate GCD of 172, 972, 503 using LCM Formula

Given numbers are 172, 972, 503

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

Apply this formula for all numbers.

Step1:

LCM(172, 972) = 41796

GCD(172, 972) = ( 172 x 972 ) / 41796

= 172 / 972

= 172


Step2:

LCM(4, 503) = 2012

GCD(4, 503) = ( 4 x 503 ) / 2012

= 4 / 503

= 4


So, Greatest Common Divisor of 172, 972, 503 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 172, 972, 503

Given numbers are 172, 972, 503
The greatest common divisor of numbers 172, 972, 503 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 972, 503 is 1.

FAQs on GCD of 172, 972, 503 Calculator

1. What is the GCD of 172, 972, 503?

GCD of given numbers 172, 972, 503 is 1


2. How to calculate the greatest common divisor of 172, 972, 503?

We can find the highest common divisor of 172, 972, 503 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 172, 972, 503 i.e 1.


3. How can I use the GCD of 172, 972, 503Calculator?

Out the numbers 172, 972, 503 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.