Greatest Common Factor of 8614/336, 5710/7870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8614/336, 5710/7870

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 8614/336,5710/7870

Given fractions are 8614/336,5710/7870

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 8614,5710

Greatest Common Factor of Numerators i.e. GCF of 8614,5710 is 2 .

LCM of Denominators means LCM of 336,7870 as per the given fractions.

LCM of 336,7870 is 1322160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8614,5710

GCF of Fractions 8614/336,5710/7870 is 2/1322160

2 8614, 5710
4307, 2855

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

Greatest Common Factor of 8614,5710 By Matching Biggest Common Factor Method

Greatest Common Factor of 8614,5710 By Matching Biggest Common Factor Method

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Factors of 5710

List of positive integer factors of 5710 that divides 5710 without a remainder.

1,2,5,10,571,1142,2855,5710

Greatest Common Factor

We found the factors 8614,5710 . The biggest common factor number is the GCF number.
So the greatest common factor 8614,5710 is 2.

Lets's calculate LCM of 336,7870

2 336, 7870
168, 3935

∴ So the LCM of the given numbers is 2 x 168 x 3935 = 1322160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1322160

Therefore, the GCF of Fractions 8614/336,5710/7870 is 2/1322160

Least Common Multiple of 336,7870 with GCF Formula

Least Common Multiple of 336,7870 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 336,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,7870) = 2

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

GCF(336,7870) x common factors =2 x 1 = 2

LCM(336,7870) = ( 336 × 7870 ) / 2

LCM(336,7870) = 2644320 / 2

LCM(336,7870) = 1322160


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 8614/336, 5710/7870

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 8614/336, 5710/7870?

Answer: GCF of Numerators as per given numbers 8614/336, 5710/7870 is

GCF of Numerators i.e. for 8614,5710 is 2

LCM of denominators i.e. for 336,7870 is 1322160.

Thus, GCF of Fractions is 2/1322160.Finally, GCF of Fractions for 8614/336, 5710/7870 is 2/1322160.