Greatest Common Factor of 48/56, 62/12, 605/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/56, 62/12, 605/847

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 48/56,62/12,605/847

Given fractions are 48/56,62/12,605/847

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 48,62,605

Greatest Common Factor of Numerators i.e. GCF of 48,62,605 is 1 .

LCM of Denominators means LCM of 56,12,847 as per the given fractions.

LCM of 56,12,847 is 20328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,62,605

GCF of Fractions 48/56,62/12,605/847 is 1/20328

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

Greatest Common Factor of 48,62,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,62,605 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 62

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

1,2,31,62

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 48,62,605 . The biggest common factor number is the GCF number.
So the greatest common factor 48,62,605 is 1.

Lets's calculate LCM of 56,12,847

2 56, 12, 847
2 28, 6, 847
7 14, 3, 847
2, 3, 121

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 3 x 121 = 20328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20328

Therefore, the GCF of Fractions 48/56,62/12,605/847 is 1/20328

Least Common Multiple of 56,12,847 with GCF Formula

Least Common Multiple of 56,12,847 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 56,12,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,12,847) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,12,847) x common factors =1 x 28 = 28

LCM(56,12,847) = ( 56 × 12 × 847 ) / 28

LCM(56,12,847) = 569184 / 28

LCM(56,12,847) = 20328


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 48/56, 62/12, 605/847

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 48/56, 62/12, 605/847?

Answer: GCF of Numerators as per given numbers 48/56, 62/12, 605/847 is

GCF of Numerators i.e. for 48,62,605 is 1

LCM of denominators i.e. for 56,12,847 is 20328.

Thus, GCF of Fractions is 1/20328.Finally, GCF of Fractions for 48/56, 62/12, 605/847 is 1/20328.