Greatest Common Factor of 313/3351, 631/9497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 313/3351, 631/9497

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 313/3351,631/9497

Given fractions are 313/3351,631/9497

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 313,631

Greatest Common Factor of Numerators i.e. GCF of 313,631 is 1 .

LCM of Denominators means LCM of 3351,9497 as per the given fractions.

LCM of 3351,9497 is 31824447 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 313,631

GCF of Fractions 313/3351,631/9497 is 1/31824447

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 313,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,631 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 313,631 . The biggest common factor number is the GCF number.
So the greatest common factor 313,631 is 1.

Lets's calculate LCM of 3351,9497

Given numbers has no common factors except 1. So, there LCM is their product i.e 31824447

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31824447

Therefore, the GCF of Fractions 313/3351,631/9497 is 1/31824447

Least Common Multiple of 3351,9497 with GCF Formula

Least Common Multiple of 3351,9497 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 3351,9497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3351,9497) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3351,9497) x common factors =1 x 1 = 1

LCM(3351,9497) = ( 3351 × 9497 ) / 1

LCM(3351,9497) = 31824447 / 1

LCM(3351,9497) = 31824447


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 313/3351, 631/9497

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 313/3351, 631/9497?

Answer: GCF of Numerators as per given numbers 313/3351, 631/9497 is

GCF of Numerators i.e. for 313,631 is 1

LCM of denominators i.e. for 3351,9497 is 31824447.

Thus, GCF of Fractions is 1/31824447.Finally, GCF of Fractions for 313/3351, 631/9497 is 1/31824447.