Greatest Common Factor of 6/66, 39/50, 53/826, 140/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/66, 39/50, 53/826, 140/308

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 6/66,39/50,53/826,140/308

Given fractions are 6/66,39/50,53/826,140/308

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 6,39,53,140

Greatest Common Factor of Numerators i.e. GCF of 6,39,53,140 is 1 .

LCM of Denominators means LCM of 66,50,826,308 as per the given fractions.

LCM of 66,50,826,308 is 1362900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,39,53,140

GCF of Fractions 6/66,39/50,53/826,140/308 is 1/1362900

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

Greatest Common Factor of 6,39,53,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,39,53,140 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 6,39,53,140 . The biggest common factor number is the GCF number.
So the greatest common factor 6,39,53,140 is 1.

Lets's calculate LCM of 66,50,826,308

2 66, 50, 826, 308
7 33, 25, 413, 154
11 33, 25, 59, 22
3, 25, 59, 2

∴ So the LCM of the given numbers is 2 x 7 x 11 x 3 x 25 x 59 x 2 = 1362900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1362900

Therefore, the GCF of Fractions 6/66,39/50,53/826,140/308 is 1/1362900

Least Common Multiple of 66,50,826,308 with GCF Formula

Least Common Multiple of 66,50,826,308 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 66,50,826,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,50,826,308) = 2

common factors(in case of two or more numbers have common factors) = 308

GCF(66,50,826,308) x common factors =2 x 308 = 616

LCM(66,50,826,308) = ( 66 × 50 × 826 × 308 ) / 616

LCM(66,50,826,308) = 839546400 / 616

LCM(66,50,826,308) = 1362900


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 6/66, 39/50, 53/826, 140/308

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 6/66, 39/50, 53/826, 140/308?

Answer: GCF of Numerators as per given numbers 6/66, 39/50, 53/826, 140/308 is

GCF of Numerators i.e. for 6,39,53,140 is 1

LCM of denominators i.e. for 66,50,826,308 is 1362900.

Thus, GCF of Fractions is 1/1362900.Finally, GCF of Fractions for 6/66, 39/50, 53/826, 140/308 is 1/1362900.