Greatest Common Factor of 99/21, 71/54, 77/13, 78/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/21, 71/54, 77/13, 78/949

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 99/21,71/54,77/13,78/949

Given fractions are 99/21,71/54,77/13,78/949

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 99,71,77,78

Greatest Common Factor of Numerators i.e. GCF of 99,71,77,78 is 1 .

LCM of Denominators means LCM of 21,54,13,949 as per the given fractions.

LCM of 21,54,13,949 is 358722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,71,77,78

GCF of Fractions 99/21,71/54,77/13,78/949 is 1/358722

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

Greatest Common Factor of 99,71,77,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,71,77,78 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 78

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

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

Greatest Common Factor

We found the factors 99,71,77,78 . The biggest common factor number is the GCF number.
So the greatest common factor 99,71,77,78 is 1.

Lets's calculate LCM of 21,54,13,949

3 21, 54, 13, 949
13 7, 18, 13, 949
7, 18, 1, 73

∴ So the LCM of the given numbers is 3 x 13 x 7 x 18 x 1 x 73 = 358722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358722

Therefore, the GCF of Fractions 99/21,71/54,77/13,78/949 is 1/358722

Least Common Multiple of 21,54,13,949 with GCF Formula

Least Common Multiple of 21,54,13,949 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 21,54,13,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,54,13,949) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(21,54,13,949) x common factors =1 x 39 = 39

LCM(21,54,13,949) = ( 21 × 54 × 13 × 949 ) / 39

LCM(21,54,13,949) = 13990158 / 39

LCM(21,54,13,949) = 358722


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 99/21, 71/54, 77/13, 78/949

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 99/21, 71/54, 77/13, 78/949?

Answer: GCF of Numerators as per given numbers 99/21, 71/54, 77/13, 78/949 is

GCF of Numerators i.e. for 99,71,77,78 is 1

LCM of denominators i.e. for 21,54,13,949 is 358722.

Thus, GCF of Fractions is 1/358722.Finally, GCF of Fractions for 99/21, 71/54, 77/13, 78/949 is 1/358722.