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GCD of 317, 971, 48 Calculator

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


Online GCD Calculator is useful to find the GCD of 317, 971, 48 quickly. Get the easiest ways to solve the greatest common divisor of 317, 971, 48 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 317, 971, 48 with Factoring?

Given Input numbers are 317, 971, 48

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

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48


GCD of numbers is the greatest common divisor

So, the GCD (317, 971, 48) = 1.

Find GCD of 317, 971, 48 using Prime Factorization

Given numbers are 317, 971, 48

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 971 are 971

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 317, 971, 48 using LCM Formula

Given numbers are 317, 971, 48

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

Apply this formula for all numbers.

Step1:

LCM(317, 971) = 307807

GCD(317, 971) = ( 317 x 971 ) / 307807

= 317 / 971

= 317


Step2:

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

= 1 / 48

= 1


So, Greatest Common Divisor of 317, 971, 48 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 317, 971, 48

Given numbers are 317, 971, 48
The greatest common divisor of numbers 317, 971, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 971, 48 is 1.

FAQs on GCD of 317, 971, 48 Calculator

1. What is the GCD of 317, 971, 48?

GCD of given numbers 317, 971, 48 is 1


2. How to calculate the greatest common divisor of 317, 971, 48?

We can find the highest common divisor of 317, 971, 48 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 317, 971, 48 i.e 1.


3. How can I use the GCD of 317, 971, 48Calculator?

Out the numbers 317, 971, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.