Greatest Common Factor of 6888/75, 6362/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6888/75, 6362/308

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 6888/75,6362/308

Given fractions are 6888/75,6362/308

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 6888,6362

Greatest Common Factor of Numerators i.e. GCF of 6888,6362 is 2 .

LCM of Denominators means LCM of 75,308 as per the given fractions.

LCM of 75,308 is 23100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6888,6362

GCF of Fractions 6888/75,6362/308 is 2/23100

2 6888, 6362
3444, 3181

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

Greatest Common Factor of 6888,6362 By Matching Biggest Common Factor Method

Greatest Common Factor of 6888,6362 By Matching Biggest Common Factor Method

Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,41,42,56,82,84,123,164,168,246,287,328,492,574,861,984,1148,1722,2296,3444,6888

Factors of 6362

List of positive integer factors of 6362 that divides 6362 without a remainder.

1,2,3181,6362

Greatest Common Factor

We found the factors 6888,6362 . The biggest common factor number is the GCF number.
So the greatest common factor 6888,6362 is 2.

Lets's calculate LCM of 75,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 23100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23100

Therefore, the GCF of Fractions 6888/75,6362/308 is 2/23100

Least Common Multiple of 75,308 with GCF Formula

Least Common Multiple of 75,308 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 75,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,308) = 1

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

GCF(75,308) x common factors =1 x 1 = 1

LCM(75,308) = ( 75 × 308 ) / 1

LCM(75,308) = 23100 / 1

LCM(75,308) = 23100


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 6888/75, 6362/308

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 6888/75, 6362/308?

Answer: GCF of Numerators as per given numbers 6888/75, 6362/308 is

GCF of Numerators i.e. for 6888,6362 is 2

LCM of denominators i.e. for 75,308 is 23100.

Thus, GCF of Fractions is 2/23100.Finally, GCF of Fractions for 6888/75, 6362/308 is 2/23100.