Greatest Common Factor of 913/268, 6930/8741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 913/268, 6930/8741

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 913/268,6930/8741

Given fractions are 913/268,6930/8741

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 913,6930

Greatest Common Factor of Numerators i.e. GCF of 913,6930 is 11 .

LCM of Denominators means LCM of 268,8741 as per the given fractions.

LCM of 268,8741 is 2342588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 913,6930

GCF of Fractions 913/268,6930/8741 is 11/2342588

11 913, 6930
83, 630

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 913,6930 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,6930 By Matching Biggest Common Factor Method

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 6930

List of positive integer factors of 6930 that divides 6930 without a remainder.

1,2,3,5,6,7,9,10,11,14,15,18,21,22,30,33,35,42,45,55,63,66,70,77,90,99,105,110,126,154,165,198,210,231,315,330,385,462,495,630,693,770,990,1155,1386,2310,3465,6930

Greatest Common Factor

We found the factors 913,6930 . The biggest common factor number is the GCF number.
So the greatest common factor 913,6930 is 11.

Lets's calculate LCM of 268,8741

Given numbers has no common factors except 1. So, there LCM is their product i.e 2342588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2342588

Therefore, the GCF of Fractions 913/268,6930/8741 is 11/2342588

Least Common Multiple of 268,8741 with GCF Formula

Least Common Multiple of 268,8741 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 268,8741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,8741) = 1

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

GCF(268,8741) x common factors =1 x 1 = 1

LCM(268,8741) = ( 268 × 8741 ) / 1

LCM(268,8741) = 2342588 / 1

LCM(268,8741) = 2342588


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 913/268, 6930/8741

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 913/268, 6930/8741?

Answer: GCF of Numerators as per given numbers 913/268, 6930/8741 is

GCF of Numerators i.e. for 913,6930 is 11

LCM of denominators i.e. for 268,8741 is 2342588.

Thus, GCF of Fractions is 11/2342588.Finally, GCF of Fractions for 913/268, 6930/8741 is 11/2342588.