Greatest Common Factor of 6999/501, 3876/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6999/501, 3876/295

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 6999/501,3876/295

Given fractions are 6999/501,3876/295

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 6999,3876

Greatest Common Factor of Numerators i.e. GCF of 6999,3876 is 3 .

LCM of Denominators means LCM of 501,295 as per the given fractions.

LCM of 501,295 is 147795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6999,3876

GCF of Fractions 6999/501,3876/295 is 3/147795

3 6999, 3876
2333, 1292

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6999,3876 By Matching Biggest Common Factor Method

Greatest Common Factor of 6999,3876 By Matching Biggest Common Factor Method

Factors of 6999

List of positive integer factors of 6999 that divides 6999 without a remainder.

1,3,2333,6999

Factors of 3876

List of positive integer factors of 3876 that divides 3876 without a remainder.

1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876

Greatest Common Factor

We found the factors 6999,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 6999,3876 is 3.

Lets's calculate LCM of 501,295

Given numbers has no common factors except 1. So, there LCM is their product i.e 147795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/147795

Therefore, the GCF of Fractions 6999/501,3876/295 is 3/147795

Least Common Multiple of 501,295 with GCF Formula

Least Common Multiple of 501,295 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 501,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,295) = 1

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

GCF(501,295) x common factors =1 x 1 = 1

LCM(501,295) = ( 501 × 295 ) / 1

LCM(501,295) = 147795 / 1

LCM(501,295) = 147795


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 6999/501, 3876/295

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 6999/501, 3876/295?

Answer: GCF of Numerators as per given numbers 6999/501, 3876/295 is

GCF of Numerators i.e. for 6999,3876 is 3

LCM of denominators i.e. for 501,295 is 147795.

Thus, GCF of Fractions is 3/147795.Finally, GCF of Fractions for 6999/501, 3876/295 is 3/147795.