Greatest Common Factor of 6018/828, 6763/3979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6018/828, 6763/3979

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 6018/828,6763/3979

Given fractions are 6018/828,6763/3979

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 6018,6763

Greatest Common Factor of Numerators i.e. GCF of 6018,6763 is 1 .

LCM of Denominators means LCM of 828,3979 as per the given fractions.

LCM of 828,3979 is 143244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6018,6763

GCF of Fractions 6018/828,6763/3979 is 1/143244

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

Greatest Common Factor of 6018,6763 By Matching Biggest Common Factor Method

Greatest Common Factor of 6018,6763 By Matching Biggest Common Factor Method

Factors of 6018

List of positive integer factors of 6018 that divides 6018 without a remainder.

1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1,6763

Greatest Common Factor

We found the factors 6018,6763 . The biggest common factor number is the GCF number.
So the greatest common factor 6018,6763 is 1.

Lets's calculate LCM of 828,3979

23 828, 3979
36, 173

∴ So the LCM of the given numbers is 23 x 36 x 173 = 143244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143244

Therefore, the GCF of Fractions 6018/828,6763/3979 is 1/143244

Least Common Multiple of 828,3979 with GCF Formula

Least Common Multiple of 828,3979 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 828,3979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,3979) = 23

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

GCF(828,3979) x common factors =23 x 1 = 23

LCM(828,3979) = ( 828 × 3979 ) / 23

LCM(828,3979) = 3294612 / 23

LCM(828,3979) = 143244


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 6018/828, 6763/3979

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 6018/828, 6763/3979?

Answer: GCF of Numerators as per given numbers 6018/828, 6763/3979 is

GCF of Numerators i.e. for 6018,6763 is 1

LCM of denominators i.e. for 828,3979 is 143244.

Thus, GCF of Fractions is 1/143244.Finally, GCF of Fractions for 6018/828, 6763/3979 is 1/143244.