Greatest Common Factor of 8182/70, 7114/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8182/70, 7114/919

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 8182/70,7114/919

Given fractions are 8182/70,7114/919

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 8182,7114

Greatest Common Factor of Numerators i.e. GCF of 8182,7114 is 2 .

LCM of Denominators means LCM of 70,919 as per the given fractions.

LCM of 70,919 is 64330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8182,7114

GCF of Fractions 8182/70,7114/919 is 2/64330

2 8182, 7114
4091, 3557

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

Greatest Common Factor of 8182,7114 By Matching Biggest Common Factor Method

Greatest Common Factor of 8182,7114 By Matching Biggest Common Factor Method

Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1,2,4091,8182

Factors of 7114

List of positive integer factors of 7114 that divides 7114 without a remainder.

1,2,3557,7114

Greatest Common Factor

We found the factors 8182,7114 . The biggest common factor number is the GCF number.
So the greatest common factor 8182,7114 is 2.

Lets's calculate LCM of 70,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 64330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/64330

Therefore, the GCF of Fractions 8182/70,7114/919 is 2/64330

Least Common Multiple of 70,919 with GCF Formula

Least Common Multiple of 70,919 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 70,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,919) = 1

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

GCF(70,919) x common factors =1 x 1 = 1

LCM(70,919) = ( 70 × 919 ) / 1

LCM(70,919) = 64330 / 1

LCM(70,919) = 64330


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 8182/70, 7114/919

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 8182/70, 7114/919?

Answer: GCF of Numerators as per given numbers 8182/70, 7114/919 is

GCF of Numerators i.e. for 8182,7114 is 2

LCM of denominators i.e. for 70,919 is 64330.

Thus, GCF of Fractions is 2/64330.Finally, GCF of Fractions for 8182/70, 7114/919 is 2/64330.