Greatest Common Factor of 7886/58, 7190/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7886/58, 7190/667

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 7886/58,7190/667

Given fractions are 7886/58,7190/667

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 7886,7190

Greatest Common Factor of Numerators i.e. GCF of 7886,7190 is 2 .

LCM of Denominators means LCM of 58,667 as per the given fractions.

LCM of 58,667 is 1334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7886,7190

GCF of Fractions 7886/58,7190/667 is 2/1334

2 7886, 7190
3943, 3595

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7886,7190 By Matching Biggest Common Factor Method

Greatest Common Factor of 7886,7190 By Matching Biggest Common Factor Method

Factors of 7886

List of positive integer factors of 7886 that divides 7886 without a remainder.

1,2,3943,7886

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1,2,5,10,719,1438,3595,7190

Greatest Common Factor

We found the factors 7886,7190 . The biggest common factor number is the GCF number.
So the greatest common factor 7886,7190 is 2.

Lets's calculate LCM of 58,667

29 58, 667
2, 23

∴ So the LCM of the given numbers is 29 x 2 x 23 = 1334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1334

Therefore, the GCF of Fractions 7886/58,7190/667 is 2/1334

Least Common Multiple of 58,667 with GCF Formula

Least Common Multiple of 58,667 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 58,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,667) = 29

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

GCF(58,667) x common factors =29 x 1 = 29

LCM(58,667) = ( 58 × 667 ) / 29

LCM(58,667) = 38686 / 29

LCM(58,667) = 1334


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 7886/58, 7190/667

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 7886/58, 7190/667?

Answer: GCF of Numerators as per given numbers 7886/58, 7190/667 is

GCF of Numerators i.e. for 7886,7190 is 2

LCM of denominators i.e. for 58,667 is 1334.

Thus, GCF of Fractions is 2/1334.Finally, GCF of Fractions for 7886/58, 7190/667 is 2/1334.