Greatest Common Factor of 4956/686, 5821/2260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4956/686, 5821/2260

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 4956/686,5821/2260

Given fractions are 4956/686,5821/2260

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 4956,5821

Greatest Common Factor of Numerators i.e. GCF of 4956,5821 is 1 .

LCM of Denominators means LCM of 686,2260 as per the given fractions.

LCM of 686,2260 is 775180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4956,5821

GCF of Fractions 4956/686,5821/2260 is 1/775180

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

Greatest Common Factor of 4956,5821 By Matching Biggest Common Factor Method

Greatest Common Factor of 4956,5821 By Matching Biggest Common Factor Method

Factors of 4956

List of positive integer factors of 4956 that divides 4956 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956

Factors of 5821

List of positive integer factors of 5821 that divides 5821 without a remainder.

1,5821

Greatest Common Factor

We found the factors 4956,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 4956,5821 is 1.

Lets's calculate LCM of 686,2260

2 686, 2260
343, 1130

∴ So the LCM of the given numbers is 2 x 343 x 1130 = 775180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/775180

Therefore, the GCF of Fractions 4956/686,5821/2260 is 1/775180

Least Common Multiple of 686,2260 with GCF Formula

Least Common Multiple of 686,2260 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 686,2260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,2260) = 2

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

GCF(686,2260) x common factors =2 x 1 = 2

LCM(686,2260) = ( 686 × 2260 ) / 2

LCM(686,2260) = 1550360 / 2

LCM(686,2260) = 775180


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 4956/686, 5821/2260

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 4956/686, 5821/2260?

Answer: GCF of Numerators as per given numbers 4956/686, 5821/2260 is

GCF of Numerators i.e. for 4956,5821 is 1

LCM of denominators i.e. for 686,2260 is 775180.

Thus, GCF of Fractions is 1/775180.Finally, GCF of Fractions for 4956/686, 5821/2260 is 1/775180.