Greatest Common Factor of 268/714, 124/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/714, 124/308

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 268/714,124/308

Given fractions are 268/714,124/308

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 268,124

Greatest Common Factor of Numerators i.e. GCF of 268,124 is 4 .

LCM of Denominators means LCM of 714,308 as per the given fractions.

LCM of 714,308 is 15708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,124

GCF of Fractions 268/714,124/308 is 4/15708

2 268, 124
2 134, 62
67, 31

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 268,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,124 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 268,124 . The biggest common factor number is the GCF number.
So the greatest common factor 268,124 is 4.

Lets's calculate LCM of 714,308

2 714, 308
7 357, 154
51, 22

∴ So the LCM of the given numbers is 2 x 7 x 51 x 22 = 15708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15708

Therefore, the GCF of Fractions 268/714,124/308 is 4/15708

Least Common Multiple of 714,308 with GCF Formula

Least Common Multiple of 714,308 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 714,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,308) = 14

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

GCF(714,308) x common factors =14 x 1 = 14

LCM(714,308) = ( 714 × 308 ) / 14

LCM(714,308) = 219912 / 14

LCM(714,308) = 15708


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 268/714, 124/308

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 268/714, 124/308?

Answer: GCF of Numerators as per given numbers 268/714, 124/308 is

GCF of Numerators i.e. for 268,124 is 4

LCM of denominators i.e. for 714,308 is 15708.

Thus, GCF of Fractions is 4/15708.Finally, GCF of Fractions for 268/714, 124/308 is 4/15708.