Greatest Common Factor of 16/29, 54/41, 78/39, 62/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/29, 54/41, 78/39, 62/112

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 16/29,54/41,78/39,62/112

Given fractions are 16/29,54/41,78/39,62/112

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 16,54,78,62

Greatest Common Factor of Numerators i.e. GCF of 16,54,78,62 is 2 .

LCM of Denominators means LCM of 29,41,39,112 as per the given fractions.

LCM of 29,41,39,112 is 5193552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,54,78,62

GCF of Fractions 16/29,54/41,78/39,62/112 is 2/5193552

2 16, 54, 78, 62
8, 27, 39, 31

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 16,54,78,62 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,54,78,62 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Greatest Common Factor

We found the factors 16,54,78,62 . The biggest common factor number is the GCF number.
So the greatest common factor 16,54,78,62 is 2.

Lets's calculate LCM of 29,41,39,112

Given numbers has no common factors except 1. So, there LCM is their product i.e 5193552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5193552

Therefore, the GCF of Fractions 16/29,54/41,78/39,62/112 is 2/5193552

Least Common Multiple of 29,41,39,112 with GCF Formula

Least Common Multiple of 29,41,39,112 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 29,41,39,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,41,39,112) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,41,39,112) x common factors =1 x 1 = 1

LCM(29,41,39,112) = ( 29 × 41 × 39 × 112 ) / 1

LCM(29,41,39,112) = 5193552 / 1

LCM(29,41,39,112) = 5193552


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 16/29, 54/41, 78/39, 62/112

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 16/29, 54/41, 78/39, 62/112?

Answer: GCF of Numerators as per given numbers 16/29, 54/41, 78/39, 62/112 is

GCF of Numerators i.e. for 16,54,78,62 is 2

LCM of denominators i.e. for 29,41,39,112 is 5193552.

Thus, GCF of Fractions is 2/5193552.Finally, GCF of Fractions for 16/29, 54/41, 78/39, 62/112 is 2/5193552.