Greatest Common Factor of 48/732, 214/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/732, 214/990

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 48/732,214/990

Given fractions are 48/732,214/990

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 48,214

Greatest Common Factor of Numerators i.e. GCF of 48,214 is 2 .

LCM of Denominators means LCM of 732,990 as per the given fractions.

LCM of 732,990 is 120780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,214

GCF of Fractions 48/732,214/990 is 2/120780

2 48, 214
24, 107

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

Greatest Common Factor of 48,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,214 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 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 48,214 . The biggest common factor number is the GCF number.
So the greatest common factor 48,214 is 2.

Lets's calculate LCM of 732,990

2 732, 990
3 366, 495
122, 165

∴ So the LCM of the given numbers is 2 x 3 x 122 x 165 = 120780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/120780

Therefore, the GCF of Fractions 48/732,214/990 is 2/120780

Least Common Multiple of 732,990 with GCF Formula

Least Common Multiple of 732,990 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 732,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,990) = 6

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

GCF(732,990) x common factors =6 x 1 = 6

LCM(732,990) = ( 732 × 990 ) / 6

LCM(732,990) = 724680 / 6

LCM(732,990) = 120780


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 48/732, 214/990

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 48/732, 214/990?

Answer: GCF of Numerators as per given numbers 48/732, 214/990 is

GCF of Numerators i.e. for 48,214 is 2

LCM of denominators i.e. for 732,990 is 120780.

Thus, GCF of Fractions is 2/120780.Finally, GCF of Fractions for 48/732, 214/990 is 2/120780.