Greatest Common Factor of 48/71, 68/84, 564/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/71, 68/84, 564/853

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 48/71,68/84,564/853

Given fractions are 48/71,68/84,564/853

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 48,68,564

Greatest Common Factor of Numerators i.e. GCF of 48,68,564 is 4 .

LCM of Denominators means LCM of 71,84,853 as per the given fractions.

LCM of 71,84,853 is 5087292 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,68,564

GCF of Fractions 48/71,68/84,564/853 is 4/5087292

2 48, 68, 564
2 24, 34, 282
12, 17, 141

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 48,68,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,68,564 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 48,68,564 . The biggest common factor number is the GCF number.
So the greatest common factor 48,68,564 is 4.

Lets's calculate LCM of 71,84,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 5087292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5087292

Therefore, the GCF of Fractions 48/71,68/84,564/853 is 4/5087292

Least Common Multiple of 71,84,853 with GCF Formula

Least Common Multiple of 71,84,853 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 71,84,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,84,853) = 1

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

GCF(71,84,853) x common factors =1 x 1 = 1

LCM(71,84,853) = ( 71 × 84 × 853 ) / 1

LCM(71,84,853) = 5087292 / 1

LCM(71,84,853) = 5087292


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 48/71, 68/84, 564/853

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 48/71, 68/84, 564/853?

Answer: GCF of Numerators as per given numbers 48/71, 68/84, 564/853 is

GCF of Numerators i.e. for 48,68,564 is 4

LCM of denominators i.e. for 71,84,853 is 5087292.

Thus, GCF of Fractions is 4/5087292.Finally, GCF of Fractions for 48/71, 68/84, 564/853 is 4/5087292.