Greatest Common Factor of 4386/878, 3413/4892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4386/878, 3413/4892

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 4386/878,3413/4892

Given fractions are 4386/878,3413/4892

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 4386,3413

Greatest Common Factor of Numerators i.e. GCF of 4386,3413 is 1 .

LCM of Denominators means LCM of 878,4892 as per the given fractions.

LCM of 878,4892 is 2147588 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4386,3413

GCF of Fractions 4386/878,3413/4892 is 1/2147588

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

Greatest Common Factor of 4386,3413 By Matching Biggest Common Factor Method

Greatest Common Factor of 4386,3413 By Matching Biggest Common Factor Method

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386

Factors of 3413

List of positive integer factors of 3413 that divides 3413 without a remainder.

1,3413

Greatest Common Factor

We found the factors 4386,3413 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,3413 is 1.

Lets's calculate LCM of 878,4892

2 878, 4892
439, 2446

∴ So the LCM of the given numbers is 2 x 439 x 2446 = 2147588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2147588

Therefore, the GCF of Fractions 4386/878,3413/4892 is 1/2147588

Least Common Multiple of 878,4892 with GCF Formula

Least Common Multiple of 878,4892 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 878,4892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,4892) = 2

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

GCF(878,4892) x common factors =2 x 1 = 2

LCM(878,4892) = ( 878 × 4892 ) / 2

LCM(878,4892) = 4295176 / 2

LCM(878,4892) = 2147588


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 4386/878, 3413/4892

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 4386/878, 3413/4892?

Answer: GCF of Numerators as per given numbers 4386/878, 3413/4892 is

GCF of Numerators i.e. for 4386,3413 is 1

LCM of denominators i.e. for 878,4892 is 2147588.

Thus, GCF of Fractions is 1/2147588.Finally, GCF of Fractions for 4386/878, 3413/4892 is 1/2147588.