Greatest Common Factor of 12/497, 78/401, 147/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/497, 78/401, 147/154

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 12/497,78/401,147/154

Given fractions are 12/497,78/401,147/154

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 12,78,147

Greatest Common Factor of Numerators i.e. GCF of 12,78,147 is 3 .

LCM of Denominators means LCM of 497,401,154 as per the given fractions.

LCM of 497,401,154 is 4384534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,78,147

GCF of Fractions 12/497,78/401,147/154 is 3/4384534

3 12, 78, 147
4, 26, 49

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 12,78,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,78,147 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 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 12,78,147 . The biggest common factor number is the GCF number.
So the greatest common factor 12,78,147 is 3.

Lets's calculate LCM of 497,401,154

7 497, 401, 154
71, 401, 22

∴ So the LCM of the given numbers is 7 x 71 x 401 x 22 = 4384534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4384534

Therefore, the GCF of Fractions 12/497,78/401,147/154 is 3/4384534

Least Common Multiple of 497,401,154 with GCF Formula

Least Common Multiple of 497,401,154 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 497,401,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,401,154) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(497,401,154) x common factors =1 x 7 = 7

LCM(497,401,154) = ( 497 × 401 × 154 ) / 7

LCM(497,401,154) = 30691738 / 7

LCM(497,401,154) = 4384534


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 12/497, 78/401, 147/154

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 12/497, 78/401, 147/154?

Answer: GCF of Numerators as per given numbers 12/497, 78/401, 147/154 is

GCF of Numerators i.e. for 12,78,147 is 3

LCM of denominators i.e. for 497,401,154 is 4384534.

Thus, GCF of Fractions is 3/4384534.Finally, GCF of Fractions for 12/497, 78/401, 147/154 is 3/4384534.