Greatest Common Factor of 12/74, 78/64, 799/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/74, 78/64, 799/174

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 12/74,78/64,799/174

Given fractions are 12/74,78/64,799/174

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 12,78,799

Greatest Common Factor of Numerators i.e. GCF of 12,78,799 is 1 .

LCM of Denominators means LCM of 74,64,174 as per the given fractions.

LCM of 74,64,174 is 206016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,78,799

GCF of Fractions 12/74,78/64,799/174 is 1/206016

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

Greatest Common Factor of 12,78,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,78,799 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 12,78,799 . The biggest common factor number is the GCF number.
So the greatest common factor 12,78,799 is 1.

Lets's calculate LCM of 74,64,174

2 74, 64, 174
37, 32, 87

∴ So the LCM of the given numbers is 2 x 37 x 32 x 87 = 206016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206016

Therefore, the GCF of Fractions 12/74,78/64,799/174 is 1/206016

Least Common Multiple of 74,64,174 with GCF Formula

Least Common Multiple of 74,64,174 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 74,64,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,64,174) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,64,174) x common factors =2 x 2 = 4

LCM(74,64,174) = ( 74 × 64 × 174 ) / 4

LCM(74,64,174) = 824064 / 4

LCM(74,64,174) = 206016


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 12/74, 78/64, 799/174

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 12/74, 78/64, 799/174?

Answer: GCF of Numerators as per given numbers 12/74, 78/64, 799/174 is

GCF of Numerators i.e. for 12,78,799 is 1

LCM of denominators i.e. for 74,64,174 is 206016.

Thus, GCF of Fractions is 1/206016.Finally, GCF of Fractions for 12/74, 78/64, 799/174 is 1/206016.