Greatest Common Factor of 5881/696, 7362/8116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5881/696, 7362/8116

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 5881/696,7362/8116

Given fractions are 5881/696,7362/8116

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 5881,7362

Greatest Common Factor of Numerators i.e. GCF of 5881,7362 is 1 .

LCM of Denominators means LCM of 696,8116 as per the given fractions.

LCM of 696,8116 is 1412184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5881,7362

GCF of Fractions 5881/696,7362/8116 is 1/1412184

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

Greatest Common Factor of 5881,7362 By Matching Biggest Common Factor Method

Greatest Common Factor of 5881,7362 By Matching Biggest Common Factor Method

Factors of 5881

List of positive integer factors of 5881 that divides 5881 without a remainder.

1,5881

Factors of 7362

List of positive integer factors of 7362 that divides 7362 without a remainder.

1,2,3,6,9,18,409,818,1227,2454,3681,7362

Greatest Common Factor

We found the factors 5881,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 5881,7362 is 1.

Lets's calculate LCM of 696,8116

2 696, 8116
2 348, 4058
174, 2029

∴ So the LCM of the given numbers is 2 x 2 x 174 x 2029 = 1412184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1412184

Therefore, the GCF of Fractions 5881/696,7362/8116 is 1/1412184

Least Common Multiple of 696,8116 with GCF Formula

Least Common Multiple of 696,8116 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 696,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,8116) = 4

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

GCF(696,8116) x common factors =4 x 1 = 4

LCM(696,8116) = ( 696 × 8116 ) / 4

LCM(696,8116) = 5648736 / 4

LCM(696,8116) = 1412184


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 5881/696, 7362/8116

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 5881/696, 7362/8116?

Answer: GCF of Numerators as per given numbers 5881/696, 7362/8116 is

GCF of Numerators i.e. for 5881,7362 is 1

LCM of denominators i.e. for 696,8116 is 1412184.

Thus, GCF of Fractions is 1/1412184.Finally, GCF of Fractions for 5881/696, 7362/8116 is 1/1412184.