Greatest Common Factor of 7013/265, 8342/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7013/265, 8342/816

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 7013/265,8342/816

Given fractions are 7013/265,8342/816

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 7013,8342

Greatest Common Factor of Numerators i.e. GCF of 7013,8342 is 1 .

LCM of Denominators means LCM of 265,816 as per the given fractions.

LCM of 265,816 is 216240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7013,8342

GCF of Fractions 7013/265,8342/816 is 1/216240

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

Greatest Common Factor of 7013,8342 By Matching Biggest Common Factor Method

Greatest Common Factor of 7013,8342 By Matching Biggest Common Factor Method

Factors of 7013

List of positive integer factors of 7013 that divides 7013 without a remainder.

1,7013

Factors of 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1,2,43,86,97,194,4171,8342

Greatest Common Factor

We found the factors 7013,8342 . The biggest common factor number is the GCF number.
So the greatest common factor 7013,8342 is 1.

Lets's calculate LCM of 265,816

Given numbers has no common factors except 1. So, there LCM is their product i.e 216240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216240

Therefore, the GCF of Fractions 7013/265,8342/816 is 1/216240

Least Common Multiple of 265,816 with GCF Formula

Least Common Multiple of 265,816 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 265,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,816) = 1

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

GCF(265,816) x common factors =1 x 1 = 1

LCM(265,816) = ( 265 × 816 ) / 1

LCM(265,816) = 216240 / 1

LCM(265,816) = 216240


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 7013/265, 8342/816

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 7013/265, 8342/816?

Answer: GCF of Numerators as per given numbers 7013/265, 8342/816 is

GCF of Numerators i.e. for 7013,8342 is 1

LCM of denominators i.e. for 265,816 is 216240.

Thus, GCF of Fractions is 1/216240.Finally, GCF of Fractions for 7013/265, 8342/816 is 1/216240.