Greatest Common Factor of 6878/995, 6664/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6878/995, 6664/434

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 6878/995,6664/434

Given fractions are 6878/995,6664/434

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 6878,6664

Greatest Common Factor of Numerators i.e. GCF of 6878,6664 is 2 .

LCM of Denominators means LCM of 995,434 as per the given fractions.

LCM of 995,434 is 431830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6878,6664

GCF of Fractions 6878/995,6664/434 is 2/431830

2 6878, 6664
3439, 3332

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

Greatest Common Factor of 6878,6664 By Matching Biggest Common Factor Method

Greatest Common Factor of 6878,6664 By Matching Biggest Common Factor Method

Factors of 6878

List of positive integer factors of 6878 that divides 6878 without a remainder.

1,2,19,38,181,362,3439,6878

Factors of 6664

List of positive integer factors of 6664 that divides 6664 without a remainder.

1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664

Greatest Common Factor

We found the factors 6878,6664 . The biggest common factor number is the GCF number.
So the greatest common factor 6878,6664 is 2.

Lets's calculate LCM of 995,434

Given numbers has no common factors except 1. So, there LCM is their product i.e 431830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/431830

Therefore, the GCF of Fractions 6878/995,6664/434 is 2/431830

Least Common Multiple of 995,434 with GCF Formula

Least Common Multiple of 995,434 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 995,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,434) = 1

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

GCF(995,434) x common factors =1 x 1 = 1

LCM(995,434) = ( 995 × 434 ) / 1

LCM(995,434) = 431830 / 1

LCM(995,434) = 431830


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 6878/995, 6664/434

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 6878/995, 6664/434?

Answer: GCF of Numerators as per given numbers 6878/995, 6664/434 is

GCF of Numerators i.e. for 6878,6664 is 2

LCM of denominators i.e. for 995,434 is 431830.

Thus, GCF of Fractions is 2/431830.Finally, GCF of Fractions for 6878/995, 6664/434 is 2/431830.