Greatest Common Factor of 6670/247, 2780/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6670/247, 2780/836

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 6670/247,2780/836

Given fractions are 6670/247,2780/836

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 6670,2780

Greatest Common Factor of Numerators i.e. GCF of 6670,2780 is 10 .

LCM of Denominators means LCM of 247,836 as per the given fractions.

LCM of 247,836 is 10868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6670,2780

GCF of Fractions 6670/247,2780/836 is 10/10868

2 6670, 2780
5 3335, 1390
667, 278

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

Greatest Common Factor of 6670,2780 By Matching Biggest Common Factor Method

Greatest Common Factor of 6670,2780 By Matching Biggest Common Factor Method

Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670

Factors of 2780

List of positive integer factors of 2780 that divides 2780 without a remainder.

1,2,4,5,10,20,139,278,556,695,1390,2780

Greatest Common Factor

We found the factors 6670,2780 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,2780 is 10.

Lets's calculate LCM of 247,836

19 247, 836
13, 44

∴ So the LCM of the given numbers is 19 x 13 x 44 = 10868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/10868

Therefore, the GCF of Fractions 6670/247,2780/836 is 10/10868

Least Common Multiple of 247,836 with GCF Formula

Least Common Multiple of 247,836 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 247,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,836) = 19

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

GCF(247,836) x common factors =19 x 1 = 19

LCM(247,836) = ( 247 × 836 ) / 19

LCM(247,836) = 206492 / 19

LCM(247,836) = 10868


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 6670/247, 2780/836

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 6670/247, 2780/836?

Answer: GCF of Numerators as per given numbers 6670/247, 2780/836 is

GCF of Numerators i.e. for 6670,2780 is 10

LCM of denominators i.e. for 247,836 is 10868.

Thus, GCF of Fractions is 10/10868.Finally, GCF of Fractions for 6670/247, 2780/836 is 10/10868.