Greatest Common Factor of 6680/584, 4236/3722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6680/584, 4236/3722

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 6680/584,4236/3722

Given fractions are 6680/584,4236/3722

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 6680,4236

Greatest Common Factor of Numerators i.e. GCF of 6680,4236 is 4 .

LCM of Denominators means LCM of 584,3722 as per the given fractions.

LCM of 584,3722 is 1086824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6680,4236

GCF of Fractions 6680/584,4236/3722 is 4/1086824

2 6680, 4236
2 3340, 2118
1670, 1059

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

Greatest Common Factor of 6680,4236 By Matching Biggest Common Factor Method

Greatest Common Factor of 6680,4236 By Matching Biggest Common Factor Method

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680

Factors of 4236

List of positive integer factors of 4236 that divides 4236 without a remainder.

1,2,3,4,6,12,353,706,1059,1412,2118,4236

Greatest Common Factor

We found the factors 6680,4236 . The biggest common factor number is the GCF number.
So the greatest common factor 6680,4236 is 4.

Lets's calculate LCM of 584,3722

2 584, 3722
292, 1861

∴ So the LCM of the given numbers is 2 x 292 x 1861 = 1086824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1086824

Therefore, the GCF of Fractions 6680/584,4236/3722 is 4/1086824

Least Common Multiple of 584,3722 with GCF Formula

Least Common Multiple of 584,3722 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 584,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,3722) = 2

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

GCF(584,3722) x common factors =2 x 1 = 2

LCM(584,3722) = ( 584 × 3722 ) / 2

LCM(584,3722) = 2173648 / 2

LCM(584,3722) = 1086824


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 6680/584, 4236/3722

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 6680/584, 4236/3722?

Answer: GCF of Numerators as per given numbers 6680/584, 4236/3722 is

GCF of Numerators i.e. for 6680,4236 is 4

LCM of denominators i.e. for 584,3722 is 1086824.

Thus, GCF of Fractions is 4/1086824.Finally, GCF of Fractions for 6680/584, 4236/3722 is 4/1086824.