Greatest Common Factor of 7686/68, 7777/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7686/68, 7777/848

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 7686/68,7777/848

Given fractions are 7686/68,7777/848

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 7686,7777

Greatest Common Factor of Numerators i.e. GCF of 7686,7777 is 7 .

LCM of Denominators means LCM of 68,848 as per the given fractions.

LCM of 68,848 is 14416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7686,7777

GCF of Fractions 7686/68,7777/848 is 7/14416

7 7686, 7777
1098, 1111

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7686,7777 By Matching Biggest Common Factor Method

Greatest Common Factor of 7686,7777 By Matching Biggest Common Factor Method

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686

Factors of 7777

List of positive integer factors of 7777 that divides 7777 without a remainder.

1,7,11,77,101,707,1111,7777

Greatest Common Factor

We found the factors 7686,7777 . The biggest common factor number is the GCF number.
So the greatest common factor 7686,7777 is 7.

Lets's calculate LCM of 68,848

2 68, 848
2 34, 424
17, 212

∴ So the LCM of the given numbers is 2 x 2 x 17 x 212 = 14416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/14416

Therefore, the GCF of Fractions 7686/68,7777/848 is 7/14416

Least Common Multiple of 68,848 with GCF Formula

Least Common Multiple of 68,848 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 68,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,848) = 4

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

GCF(68,848) x common factors =4 x 1 = 4

LCM(68,848) = ( 68 × 848 ) / 4

LCM(68,848) = 57664 / 4

LCM(68,848) = 14416


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 7686/68, 7777/848

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 7686/68, 7777/848?

Answer: GCF of Numerators as per given numbers 7686/68, 7777/848 is

GCF of Numerators i.e. for 7686,7777 is 7

LCM of denominators i.e. for 68,848 is 14416.

Thus, GCF of Fractions is 7/14416.Finally, GCF of Fractions for 7686/68, 7777/848 is 7/14416.