Greatest Common Factor of 3878/390, 6509/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3878/390, 6509/844

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 3878/390,6509/844

Given fractions are 3878/390,6509/844

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 3878,6509

Greatest Common Factor of Numerators i.e. GCF of 3878,6509 is 1 .

LCM of Denominators means LCM of 390,844 as per the given fractions.

LCM of 390,844 is 164580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3878,6509

GCF of Fractions 3878/390,6509/844 is 1/164580

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

Greatest Common Factor of 3878,6509 By Matching Biggest Common Factor Method

Greatest Common Factor of 3878,6509 By Matching Biggest Common Factor Method

Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1,2,7,14,277,554,1939,3878

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

Greatest Common Factor

We found the factors 3878,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 3878,6509 is 1.

Lets's calculate LCM of 390,844

2 390, 844
195, 422

∴ So the LCM of the given numbers is 2 x 195 x 422 = 164580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164580

Therefore, the GCF of Fractions 3878/390,6509/844 is 1/164580

Least Common Multiple of 390,844 with GCF Formula

Least Common Multiple of 390,844 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 390,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,844) = 2

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

GCF(390,844) x common factors =2 x 1 = 2

LCM(390,844) = ( 390 × 844 ) / 2

LCM(390,844) = 329160 / 2

LCM(390,844) = 164580


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 3878/390, 6509/844

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 3878/390, 6509/844?

Answer: GCF of Numerators as per given numbers 3878/390, 6509/844 is

GCF of Numerators i.e. for 3878,6509 is 1

LCM of denominators i.e. for 390,844 is 164580.

Thus, GCF of Fractions is 1/164580.Finally, GCF of Fractions for 3878/390, 6509/844 is 1/164580.