Greatest Common Factor of 884/48, 714/29, 107/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/48, 714/29, 107/134

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 884/48,714/29,107/134

Given fractions are 884/48,714/29,107/134

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 884,714,107

Greatest Common Factor of Numerators i.e. GCF of 884,714,107 is 1 .

LCM of Denominators means LCM of 48,29,134 as per the given fractions.

LCM of 48,29,134 is 93264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,714,107

GCF of Fractions 884/48,714/29,107/134 is 1/93264

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

Greatest Common Factor of 884,714,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,714,107 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 884,714,107 . The biggest common factor number is the GCF number.
So the greatest common factor 884,714,107 is 1.

Lets's calculate LCM of 48,29,134

2 48, 29, 134
24, 29, 67

∴ So the LCM of the given numbers is 2 x 24 x 29 x 67 = 93264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93264

Therefore, the GCF of Fractions 884/48,714/29,107/134 is 1/93264

Least Common Multiple of 48,29,134 with GCF Formula

Least Common Multiple of 48,29,134 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 48,29,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,29,134) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(48,29,134) x common factors =1 x 2 = 2

LCM(48,29,134) = ( 48 × 29 × 134 ) / 2

LCM(48,29,134) = 186528 / 2

LCM(48,29,134) = 93264


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 884/48, 714/29, 107/134

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 884/48, 714/29, 107/134?

Answer: GCF of Numerators as per given numbers 884/48, 714/29, 107/134 is

GCF of Numerators i.e. for 884,714,107 is 1

LCM of denominators i.e. for 48,29,134 is 93264.

Thus, GCF of Fractions is 1/93264.Finally, GCF of Fractions for 884/48, 714/29, 107/134 is 1/93264.