Greatest Common Factor of 6860/624, 3670/4179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6860/624, 3670/4179

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 6860/624,3670/4179

Given fractions are 6860/624,3670/4179

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 6860,3670

Greatest Common Factor of Numerators i.e. GCF of 6860,3670 is 10 .

LCM of Denominators means LCM of 624,4179 as per the given fractions.

LCM of 624,4179 is 869232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6860,3670

GCF of Fractions 6860/624,3670/4179 is 10/869232

2 6860, 3670
5 3430, 1835
686, 367

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6860,3670 By Matching Biggest Common Factor Method

Greatest Common Factor of 6860,3670 By Matching Biggest Common Factor Method

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Factors of 3670

List of positive integer factors of 3670 that divides 3670 without a remainder.

1,2,5,10,367,734,1835,3670

Greatest Common Factor

We found the factors 6860,3670 . The biggest common factor number is the GCF number.
So the greatest common factor 6860,3670 is 10.

Lets's calculate LCM of 624,4179

3 624, 4179
208, 1393

∴ So the LCM of the given numbers is 3 x 208 x 1393 = 869232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/869232

Therefore, the GCF of Fractions 6860/624,3670/4179 is 10/869232

Least Common Multiple of 624,4179 with GCF Formula

Least Common Multiple of 624,4179 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 624,4179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,4179) = 3

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

GCF(624,4179) x common factors =3 x 1 = 3

LCM(624,4179) = ( 624 × 4179 ) / 3

LCM(624,4179) = 2607696 / 3

LCM(624,4179) = 869232


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 6860/624, 3670/4179

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 6860/624, 3670/4179?

Answer: GCF of Numerators as per given numbers 6860/624, 3670/4179 is

GCF of Numerators i.e. for 6860,3670 is 10

LCM of denominators i.e. for 624,4179 is 869232.

Thus, GCF of Fractions is 10/869232.Finally, GCF of Fractions for 6860/624, 3670/4179 is 10/869232.