Greatest Common Factor of 48/78, 78/67, 598/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/78, 78/67, 598/23

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 48/78,78/67,598/23

Given fractions are 48/78,78/67,598/23

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 48,78,598

Greatest Common Factor of Numerators i.e. GCF of 48,78,598 is 2 .

LCM of Denominators means LCM of 78,67,23 as per the given fractions.

LCM of 78,67,23 is 120198 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,78,598

GCF of Fractions 48/78,78/67,598/23 is 2/120198

2 48, 78, 598
24, 39, 299

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

Greatest Common Factor of 48,78,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,78,598 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 48,78,598 . The biggest common factor number is the GCF number.
So the greatest common factor 48,78,598 is 2.

Lets's calculate LCM of 78,67,23

Given numbers has no common factors except 1. So, there LCM is their product i.e 120198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120198

Therefore, the GCF of Fractions 48/78,78/67,598/23 is 2/120198

Least Common Multiple of 78,67,23 with GCF Formula

Least Common Multiple of 78,67,23 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 78,67,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,67,23) = 1

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

GCF(78,67,23) x common factors =1 x 1 = 1

LCM(78,67,23) = ( 78 × 67 × 23 ) / 1

LCM(78,67,23) = 120198 / 1

LCM(78,67,23) = 120198


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 48/78, 78/67, 598/23

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 48/78, 78/67, 598/23?

Answer: GCF of Numerators as per given numbers 48/78, 78/67, 598/23 is

GCF of Numerators i.e. for 48,78,598 is 2

LCM of denominators i.e. for 78,67,23 is 120198.

Thus, GCF of Fractions is 2/120198.Finally, GCF of Fractions for 48/78, 78/67, 598/23 is 2/120198.