Greatest Common Factor of 6766/66, 8077/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6766/66, 8077/990

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 6766/66,8077/990

Given fractions are 6766/66,8077/990

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 6766,8077

Greatest Common Factor of Numerators i.e. GCF of 6766,8077 is 1 .

LCM of Denominators means LCM of 66,990 as per the given fractions.

LCM of 66,990 is 990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6766,8077

GCF of Fractions 6766/66,8077/990 is 1/990

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6766,8077 By Matching Biggest Common Factor Method

Greatest Common Factor of 6766,8077 By Matching Biggest Common Factor Method

Factors of 6766

List of positive integer factors of 6766 that divides 6766 without a remainder.

1,2,17,34,199,398,3383,6766

Factors of 8077

List of positive integer factors of 8077 that divides 8077 without a remainder.

1,41,197,8077

Greatest Common Factor

We found the factors 6766,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 6766,8077 is 1.

Lets's calculate LCM of 66,990

2 66, 990
3 33, 495
11 11, 165
1, 15

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 15 = 990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990

Therefore, the GCF of Fractions 6766/66,8077/990 is 1/990

Least Common Multiple of 66,990 with GCF Formula

Least Common Multiple of 66,990 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 66,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,990) = 66

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

GCF(66,990) x common factors =66 x 1 = 66

LCM(66,990) = ( 66 × 990 ) / 66

LCM(66,990) = 65340 / 66

LCM(66,990) = 990


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 6766/66, 8077/990

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 6766/66, 8077/990?

Answer: GCF of Numerators as per given numbers 6766/66, 8077/990 is

GCF of Numerators i.e. for 6766,8077 is 1

LCM of denominators i.e. for 66,990 is 990.

Thus, GCF of Fractions is 1/990.Finally, GCF of Fractions for 6766/66, 8077/990 is 1/990.