Greatest Common Factor of 14/49, 92/16, 191/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/49, 92/16, 191/772

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 14/49,92/16,191/772

Given fractions are 14/49,92/16,191/772

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 14,92,191

Greatest Common Factor of Numerators i.e. GCF of 14,92,191 is 1 .

LCM of Denominators means LCM of 49,16,772 as per the given fractions.

LCM of 49,16,772 is 151312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,92,191

GCF of Fractions 14/49,92/16,191/772 is 1/151312

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

Greatest Common Factor of 14,92,191 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,92,191 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors 14,92,191 . The biggest common factor number is the GCF number.
So the greatest common factor 14,92,191 is 1.

Lets's calculate LCM of 49,16,772

2 49, 16, 772
2 49, 8, 386
49, 4, 193

∴ So the LCM of the given numbers is 2 x 2 x 49 x 4 x 193 = 151312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151312

Therefore, the GCF of Fractions 14/49,92/16,191/772 is 1/151312

Least Common Multiple of 49,16,772 with GCF Formula

Least Common Multiple of 49,16,772 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 49,16,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,16,772) = 1

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

GCF(49,16,772) x common factors =1 x 4 = 4

LCM(49,16,772) = ( 49 × 16 × 772 ) / 4

LCM(49,16,772) = 605248 / 4

LCM(49,16,772) = 151312


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 14/49, 92/16, 191/772

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 14/49, 92/16, 191/772?

Answer: GCF of Numerators as per given numbers 14/49, 92/16, 191/772 is

GCF of Numerators i.e. for 14,92,191 is 1

LCM of denominators i.e. for 49,16,772 is 151312.

Thus, GCF of Fractions is 1/151312.Finally, GCF of Fractions for 14/49, 92/16, 191/772 is 1/151312.