Greatest Common Factor of 6/43, 76/68, 44/196, 468/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/43, 76/68, 44/196, 468/535

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 6/43,76/68,44/196,468/535

Given fractions are 6/43,76/68,44/196,468/535

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 6,76,44,468

Greatest Common Factor of Numerators i.e. GCF of 6,76,44,468 is 2 .

LCM of Denominators means LCM of 43,68,196,535 as per the given fractions.

LCM of 43,68,196,535 is 76652660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,76,44,468

GCF of Fractions 6/43,76/68,44/196,468/535 is 2/76652660

2 6, 76, 44, 468
3, 38, 22, 234

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,76,44,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,76,44,468 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 6,76,44,468 . The biggest common factor number is the GCF number.
So the greatest common factor 6,76,44,468 is 2.

Lets's calculate LCM of 43,68,196,535

2 43, 68, 196, 535
2 43, 34, 98, 535
43, 17, 49, 535

∴ So the LCM of the given numbers is 2 x 2 x 43 x 17 x 49 x 535 = 76652660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/76652660

Therefore, the GCF of Fractions 6/43,76/68,44/196,468/535 is 2/76652660

Least Common Multiple of 43,68,196,535 with GCF Formula

Least Common Multiple of 43,68,196,535 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 43,68,196,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,68,196,535) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(43,68,196,535) x common factors =1 x 4 = 4

LCM(43,68,196,535) = ( 43 × 68 × 196 × 535 ) / 4

LCM(43,68,196,535) = 306610640 / 4

LCM(43,68,196,535) = 76652660


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 6/43, 76/68, 44/196, 468/535

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 6/43, 76/68, 44/196, 468/535?

Answer: GCF of Numerators as per given numbers 6/43, 76/68, 44/196, 468/535 is

GCF of Numerators i.e. for 6,76,44,468 is 2

LCM of denominators i.e. for 43,68,196,535 is 76652660.

Thus, GCF of Fractions is 2/76652660.Finally, GCF of Fractions for 6/43, 76/68, 44/196, 468/535 is 2/76652660.