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GCD of 317, 998, 461, 672 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, 998, 461, 672 quickly. Get the easiest ways to solve the greatest common divisor of 317, 998, 461, 672 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 317, 998, 461, 672 with Factoring?

Given Input numbers are 317, 998, 461, 672

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (317, 998, 461, 672) = 1.

Find GCD of 317, 998, 461, 672 using Prime Factorization

Given numbers are 317, 998, 461, 672

The list of prime factors of all numbers are

Prime factors of 317 are 317

Prime factors of 998 are 2 x 499

Prime factors of 461 are 461

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Steps to Calculate GCD of 317, 998, 461, 672 using LCM Formula

Given numbers are 317, 998, 461, 672

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

Apply this formula for all numbers.

Step1:

LCM(317, 998) = 316366

GCD(317, 998) = ( 317 x 998 ) / 316366

= 317 / 998

= 317


Step2:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1


Step3:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1


So, Greatest Common Divisor of 317, 998, 461, 672 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 317, 998, 461, 672

Given numbers are 317, 998, 461, 672
The greatest common divisor of numbers 317, 998, 461, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 317, 998, 461, 672 is 1.

FAQs on GCD of 317, 998, 461, 672 Calculator

1. What is the GCD of 317, 998, 461, 672?

GCD of given numbers 317, 998, 461, 672 is 1


2. How to calculate the greatest common divisor of 317, 998, 461, 672?

We can find the highest common divisor of 317, 998, 461, 672 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, 998, 461, 672 i.e 1.


3. How can I use the GCD of 317, 998, 461, 672Calculator?

Out the numbers 317, 998, 461, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.