Greatest Common Factor of 9313/311, 5464/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9313/311, 5464/694

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 9313/311,5464/694

Given fractions are 9313/311,5464/694

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 9313,5464

Greatest Common Factor of Numerators i.e. GCF of 9313,5464 is 1 .

LCM of Denominators means LCM of 311,694 as per the given fractions.

LCM of 311,694 is 215834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9313,5464

GCF of Fractions 9313/311,5464/694 is 1/215834

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

Greatest Common Factor of 9313,5464 By Matching Biggest Common Factor Method

Greatest Common Factor of 9313,5464 By Matching Biggest Common Factor Method

Factors of 9313

List of positive integer factors of 9313 that divides 9313 without a remainder.

1,67,139,9313

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Greatest Common Factor

We found the factors 9313,5464 . The biggest common factor number is the GCF number.
So the greatest common factor 9313,5464 is 1.

Lets's calculate LCM of 311,694

Given numbers has no common factors except 1. So, there LCM is their product i.e 215834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215834

Therefore, the GCF of Fractions 9313/311,5464/694 is 1/215834

Least Common Multiple of 311,694 with GCF Formula

Least Common Multiple of 311,694 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 311,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,694) = 1

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

GCF(311,694) x common factors =1 x 1 = 1

LCM(311,694) = ( 311 × 694 ) / 1

LCM(311,694) = 215834 / 1

LCM(311,694) = 215834


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 9313/311, 5464/694

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 9313/311, 5464/694?

Answer: GCF of Numerators as per given numbers 9313/311, 5464/694 is

GCF of Numerators i.e. for 9313,5464 is 1

LCM of denominators i.e. for 311,694 is 215834.

Thus, GCF of Fractions is 1/215834.Finally, GCF of Fractions for 9313/311, 5464/694 is 1/215834.