Greatest Common Factor of 6875/10, 1383/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6875/10, 1383/674

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 6875/10,1383/674

Given fractions are 6875/10,1383/674

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 6875,1383

Greatest Common Factor of Numerators i.e. GCF of 6875,1383 is 1 .

LCM of Denominators means LCM of 10,674 as per the given fractions.

LCM of 10,674 is 3370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6875,1383

GCF of Fractions 6875/10,1383/674 is 1/3370

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

Greatest Common Factor of 6875,1383 By Matching Biggest Common Factor Method

Greatest Common Factor of 6875,1383 By Matching Biggest Common Factor Method

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1,5,11,25,55,125,275,625,1375,6875

Factors of 1383

List of positive integer factors of 1383 that divides 1383 without a remainder.

1,3,461,1383

Greatest Common Factor

We found the factors 6875,1383 . The biggest common factor number is the GCF number.
So the greatest common factor 6875,1383 is 1.

Lets's calculate LCM of 10,674

2 10, 674
5, 337

∴ So the LCM of the given numbers is 2 x 5 x 337 = 3370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3370

Therefore, the GCF of Fractions 6875/10,1383/674 is 1/3370

Least Common Multiple of 10,674 with GCF Formula

Least Common Multiple of 10,674 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 10,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,674) = 2

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

GCF(10,674) x common factors =2 x 1 = 2

LCM(10,674) = ( 10 × 674 ) / 2

LCM(10,674) = 6740 / 2

LCM(10,674) = 3370


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 6875/10, 1383/674

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 6875/10, 1383/674?

Answer: GCF of Numerators as per given numbers 6875/10, 1383/674 is

GCF of Numerators i.e. for 6875,1383 is 1

LCM of denominators i.e. for 10,674 is 3370.

Thus, GCF of Fractions is 1/3370.Finally, GCF of Fractions for 6875/10, 1383/674 is 1/3370.