Greatest Common Factor of 69/12, 198/47, 314/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/12, 198/47, 314/754

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 69/12,198/47,314/754

Given fractions are 69/12,198/47,314/754

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 69,198,314

Greatest Common Factor of Numerators i.e. GCF of 69,198,314 is 1 .

LCM of Denominators means LCM of 12,47,754 as per the given fractions.

LCM of 12,47,754 is 212628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,198,314

GCF of Fractions 69/12,198/47,314/754 is 1/212628

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

Greatest Common Factor of 69,198,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,198,314 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 69,198,314 . The biggest common factor number is the GCF number.
So the greatest common factor 69,198,314 is 1.

Lets's calculate LCM of 12,47,754

2 12, 47, 754
6, 47, 377

∴ So the LCM of the given numbers is 2 x 6 x 47 x 377 = 212628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212628

Therefore, the GCF of Fractions 69/12,198/47,314/754 is 1/212628

Least Common Multiple of 12,47,754 with GCF Formula

Least Common Multiple of 12,47,754 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 12,47,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,47,754) = 1

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

GCF(12,47,754) x common factors =1 x 2 = 2

LCM(12,47,754) = ( 12 × 47 × 754 ) / 2

LCM(12,47,754) = 425256 / 2

LCM(12,47,754) = 212628


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 69/12, 198/47, 314/754

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 69/12, 198/47, 314/754?

Answer: GCF of Numerators as per given numbers 69/12, 198/47, 314/754 is

GCF of Numerators i.e. for 69,198,314 is 1

LCM of denominators i.e. for 12,47,754 is 212628.

Thus, GCF of Fractions is 1/212628.Finally, GCF of Fractions for 69/12, 198/47, 314/754 is 1/212628.