Greatest Common Factor of 8414/58, 7136/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8414/58, 7136/442

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 8414/58,7136/442

Given fractions are 8414/58,7136/442

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 8414,7136

Greatest Common Factor of Numerators i.e. GCF of 8414,7136 is 2 .

LCM of Denominators means LCM of 58,442 as per the given fractions.

LCM of 58,442 is 12818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8414,7136

GCF of Fractions 8414/58,7136/442 is 2/12818

2 8414, 7136
4207, 3568

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

Greatest Common Factor of 8414,7136 By Matching Biggest Common Factor Method

Greatest Common Factor of 8414,7136 By Matching Biggest Common Factor Method

Factors of 8414

List of positive integer factors of 8414 that divides 8414 without a remainder.

1,2,7,14,601,1202,4207,8414

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1,2,4,8,16,32,223,446,892,1784,3568,7136

Greatest Common Factor

We found the factors 8414,7136 . The biggest common factor number is the GCF number.
So the greatest common factor 8414,7136 is 2.

Lets's calculate LCM of 58,442

2 58, 442
29, 221

∴ So the LCM of the given numbers is 2 x 29 x 221 = 12818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12818

Therefore, the GCF of Fractions 8414/58,7136/442 is 2/12818

Least Common Multiple of 58,442 with GCF Formula

Least Common Multiple of 58,442 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 58,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,442) = 2

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

GCF(58,442) x common factors =2 x 1 = 2

LCM(58,442) = ( 58 × 442 ) / 2

LCM(58,442) = 25636 / 2

LCM(58,442) = 12818


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 8414/58, 7136/442

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 8414/58, 7136/442?

Answer: GCF of Numerators as per given numbers 8414/58, 7136/442 is

GCF of Numerators i.e. for 8414,7136 is 2

LCM of denominators i.e. for 58,442 is 12818.

Thus, GCF of Fractions is 2/12818.Finally, GCF of Fractions for 8414/58, 7136/442 is 2/12818.