Greatest Common Factor of 5246/867, 8709/9996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5246/867, 8709/9996

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 5246/867,8709/9996

Given fractions are 5246/867,8709/9996

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 5246,8709

Greatest Common Factor of Numerators i.e. GCF of 5246,8709 is 1 .

LCM of Denominators means LCM of 867,9996 as per the given fractions.

LCM of 867,9996 is 169932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5246,8709

GCF of Fractions 5246/867,8709/9996 is 1/169932

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

Greatest Common Factor of 5246,8709 By Matching Biggest Common Factor Method

Greatest Common Factor of 5246,8709 By Matching Biggest Common Factor Method

Factors of 5246

List of positive integer factors of 5246 that divides 5246 without a remainder.

1,2,43,61,86,122,2623,5246

Factors of 8709

List of positive integer factors of 8709 that divides 8709 without a remainder.

1,3,2903,8709

Greatest Common Factor

We found the factors 5246,8709 . The biggest common factor number is the GCF number.
So the greatest common factor 5246,8709 is 1.

Lets's calculate LCM of 867,9996

3 867, 9996
17 289, 3332
17, 196

∴ So the LCM of the given numbers is 3 x 17 x 17 x 196 = 169932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169932

Therefore, the GCF of Fractions 5246/867,8709/9996 is 1/169932

Least Common Multiple of 867,9996 with GCF Formula

Least Common Multiple of 867,9996 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 867,9996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,9996) = 51

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

GCF(867,9996) x common factors =51 x 1 = 51

LCM(867,9996) = ( 867 × 9996 ) / 51

LCM(867,9996) = 8666532 / 51

LCM(867,9996) = 169932


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 5246/867, 8709/9996

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 5246/867, 8709/9996?

Answer: GCF of Numerators as per given numbers 5246/867, 8709/9996 is

GCF of Numerators i.e. for 5246,8709 is 1

LCM of denominators i.e. for 867,9996 is 169932.

Thus, GCF of Fractions is 1/169932.Finally, GCF of Fractions for 5246/867, 8709/9996 is 1/169932.