Greatest Common Factor of 9103/71, 6382/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9103/71, 6382/680

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 9103/71,6382/680

Given fractions are 9103/71,6382/680

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 9103,6382

Greatest Common Factor of Numerators i.e. GCF of 9103,6382 is 1 .

LCM of Denominators means LCM of 71,680 as per the given fractions.

LCM of 71,680 is 48280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9103,6382

GCF of Fractions 9103/71,6382/680 is 1/48280

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

Greatest Common Factor of 9103,6382 By Matching Biggest Common Factor Method

Greatest Common Factor of 9103,6382 By Matching Biggest Common Factor Method

Factors of 9103

List of positive integer factors of 9103 that divides 9103 without a remainder.

1,9103

Factors of 6382

List of positive integer factors of 6382 that divides 6382 without a remainder.

1,2,3191,6382

Greatest Common Factor

We found the factors 9103,6382 . The biggest common factor number is the GCF number.
So the greatest common factor 9103,6382 is 1.

Lets's calculate LCM of 71,680

Given numbers has no common factors except 1. So, there LCM is their product i.e 48280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48280

Therefore, the GCF of Fractions 9103/71,6382/680 is 1/48280

Least Common Multiple of 71,680 with GCF Formula

Least Common Multiple of 71,680 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 71,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,680) = 1

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

GCF(71,680) x common factors =1 x 1 = 1

LCM(71,680) = ( 71 × 680 ) / 1

LCM(71,680) = 48280 / 1

LCM(71,680) = 48280


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 9103/71, 6382/680

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 9103/71, 6382/680?

Answer: GCF of Numerators as per given numbers 9103/71, 6382/680 is

GCF of Numerators i.e. for 9103,6382 is 1

LCM of denominators i.e. for 71,680 is 48280.

Thus, GCF of Fractions is 1/48280.Finally, GCF of Fractions for 9103/71, 6382/680 is 1/48280.