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GCD of 313, 320, 147, 982 Calculator

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


Online GCD Calculator is useful to find the GCD of 313, 320, 147, 982 quickly. Get the easiest ways to solve the greatest common divisor of 313, 320, 147, 982 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 313, 320, 147, 982 with Factoring?

Given Input numbers are 313, 320, 147, 982

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982


GCD of numbers is the greatest common divisor

So, the GCD (313, 320, 147, 982) = 1.

Find GCD of 313, 320, 147, 982 using Prime Factorization

Given numbers are 313, 320, 147, 982

The list of prime factors of all numbers are

Prime factors of 313 are 313

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 147 are 3 x 7 x 7

Prime factors of 982 are 2 x 491

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

Steps to Calculate GCD of 313, 320, 147, 982 using LCM Formula

Given numbers are 313, 320, 147, 982

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

Apply this formula for all numbers.

Step1:

LCM(313, 320) = 100160

GCD(313, 320) = ( 313 x 320 ) / 100160

= 313 / 320

= 313


Step2:

LCM(1, 147) = 147

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

= 1 / 147

= 1


Step3:

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

= 1 / 982

= 1


So, Greatest Common Divisor of 313, 320, 147, 982 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 313, 320, 147, 982

Given numbers are 313, 320, 147, 982
The greatest common divisor of numbers 313, 320, 147, 982 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 320, 147, 982 is 1.

FAQs on GCD of 313, 320, 147, 982 Calculator

1. What is the GCD of 313, 320, 147, 982?

GCD of given numbers 313, 320, 147, 982 is 1


2. How to calculate the greatest common divisor of 313, 320, 147, 982?

We can find the highest common divisor of 313, 320, 147, 982 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 313, 320, 147, 982 i.e 1.


3. How can I use the GCD of 313, 320, 147, 982Calculator?

Out the numbers 313, 320, 147, 982 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.