Greatest Common Factor of 868/41, 2808/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/41, 2808/618

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 868/41,2808/618

Given fractions are 868/41,2808/618

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 868,2808

Greatest Common Factor of Numerators i.e. GCF of 868,2808 is 4 .

LCM of Denominators means LCM of 41,618 as per the given fractions.

LCM of 41,618 is 25338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,2808

GCF of Fractions 868/41,2808/618 is 4/25338

2 868, 2808
2 434, 1404
217, 702

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 868,2808 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,2808 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 2808

List of positive integer factors of 2808 that divides 2808 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808

Greatest Common Factor

We found the factors 868,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 868,2808 is 4.

Lets's calculate LCM of 41,618

Given numbers has no common factors except 1. So, there LCM is their product i.e 25338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25338

Therefore, the GCF of Fractions 868/41,2808/618 is 4/25338

Least Common Multiple of 41,618 with GCF Formula

Least Common Multiple of 41,618 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 41,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,618) = 1

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

GCF(41,618) x common factors =1 x 1 = 1

LCM(41,618) = ( 41 × 618 ) / 1

LCM(41,618) = 25338 / 1

LCM(41,618) = 25338


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 868/41, 2808/618

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 868/41, 2808/618?

Answer: GCF of Numerators as per given numbers 868/41, 2808/618 is

GCF of Numerators i.e. for 868,2808 is 4

LCM of denominators i.e. for 41,618 is 25338.

Thus, GCF of Fractions is 4/25338.Finally, GCF of Fractions for 868/41, 2808/618 is 4/25338.