Greatest Common Factor of 48/84, 37/72, 63/48, 11/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/84, 37/72, 63/48, 11/747

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 48/84,37/72,63/48,11/747

Given fractions are 48/84,37/72,63/48,11/747

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 48,37,63,11

Greatest Common Factor of Numerators i.e. GCF of 48,37,63,11 is 1 .

LCM of Denominators means LCM of 84,72,48,747 as per the given fractions.

LCM of 84,72,48,747 is 83664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,37,63,11

GCF of Fractions 48/84,37/72,63/48,11/747 is 1/83664

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

Greatest Common Factor of 48,37,63,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,37,63,11 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 48,37,63,11 . The biggest common factor number is the GCF number.
So the greatest common factor 48,37,63,11 is 1.

Lets's calculate LCM of 84,72,48,747

2 84, 72, 48, 747
2 42, 36, 24, 747
2 21, 18, 12, 747
3 21, 9, 6, 747
3 7, 3, 2, 249
7, 1, 2, 83

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 1 x 2 x 83 = 83664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83664

Therefore, the GCF of Fractions 48/84,37/72,63/48,11/747 is 1/83664

Least Common Multiple of 84,72,48,747 with GCF Formula

Least Common Multiple of 84,72,48,747 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 84,72,48,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,72,48,747) = 3

common factors(in case of two or more numbers have common factors) = 864

GCF(84,72,48,747) x common factors =3 x 864 = 2592

LCM(84,72,48,747) = ( 84 × 72 × 48 × 747 ) / 2592

LCM(84,72,48,747) = 216857088 / 2592

LCM(84,72,48,747) = 83664


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 48/84, 37/72, 63/48, 11/747

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 48/84, 37/72, 63/48, 11/747?

Answer: GCF of Numerators as per given numbers 48/84, 37/72, 63/48, 11/747 is

GCF of Numerators i.e. for 48,37,63,11 is 1

LCM of denominators i.e. for 84,72,48,747 is 83664.

Thus, GCF of Fractions is 1/83664.Finally, GCF of Fractions for 48/84, 37/72, 63/48, 11/747 is 1/83664.