Greatest Common Factor of 8418/47, 6786/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8418/47, 6786/122

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 8418/47,6786/122

Given fractions are 8418/47,6786/122

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 8418,6786

Greatest Common Factor of Numerators i.e. GCF of 8418,6786 is 6 .

LCM of Denominators means LCM of 47,122 as per the given fractions.

LCM of 47,122 is 5734 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8418,6786

GCF of Fractions 8418/47,6786/122 is 6/5734

2 8418, 6786
3 4209, 3393
1403, 1131

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8418,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 8418,6786 By Matching Biggest Common Factor Method

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 8418,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,6786 is 6.

Lets's calculate LCM of 47,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 5734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5734

Therefore, the GCF of Fractions 8418/47,6786/122 is 6/5734

Least Common Multiple of 47,122 with GCF Formula

Least Common Multiple of 47,122 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 47,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,122) = 1

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

GCF(47,122) x common factors =1 x 1 = 1

LCM(47,122) = ( 47 × 122 ) / 1

LCM(47,122) = 5734 / 1

LCM(47,122) = 5734


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 8418/47, 6786/122

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 8418/47, 6786/122?

Answer: GCF of Numerators as per given numbers 8418/47, 6786/122 is

GCF of Numerators i.e. for 8418,6786 is 6

LCM of denominators i.e. for 47,122 is 5734.

Thus, GCF of Fractions is 6/5734.Finally, GCF of Fractions for 8418/47, 6786/122 is 6/5734.