Greatest Common Factor of 8114/89, 7466/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8114/89, 7466/714

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 8114/89,7466/714

Given fractions are 8114/89,7466/714

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 8114,7466

Greatest Common Factor of Numerators i.e. GCF of 8114,7466 is 2 .

LCM of Denominators means LCM of 89,714 as per the given fractions.

LCM of 89,714 is 63546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8114,7466

GCF of Fractions 8114/89,7466/714 is 2/63546

2 8114, 7466
4057, 3733

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

Greatest Common Factor of 8114,7466 By Matching Biggest Common Factor Method

Greatest Common Factor of 8114,7466 By Matching Biggest Common Factor Method

Factors of 8114

List of positive integer factors of 8114 that divides 8114 without a remainder.

1,2,4057,8114

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1,2,3733,7466

Greatest Common Factor

We found the factors 8114,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 8114,7466 is 2.

Lets's calculate LCM of 89,714

Given numbers has no common factors except 1. So, there LCM is their product i.e 63546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/63546

Therefore, the GCF of Fractions 8114/89,7466/714 is 2/63546

Least Common Multiple of 89,714 with GCF Formula

Least Common Multiple of 89,714 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 89,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,714) = 1

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

GCF(89,714) x common factors =1 x 1 = 1

LCM(89,714) = ( 89 × 714 ) / 1

LCM(89,714) = 63546 / 1

LCM(89,714) = 63546


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 8114/89, 7466/714

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 8114/89, 7466/714?

Answer: GCF of Numerators as per given numbers 8114/89, 7466/714 is

GCF of Numerators i.e. for 8114,7466 is 2

LCM of denominators i.e. for 89,714 is 63546.

Thus, GCF of Fractions is 2/63546.Finally, GCF of Fractions for 8114/89, 7466/714 is 2/63546.