Greatest Common Factor of 48/217, 102/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/217, 102/683

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 48/217,102/683

Given fractions are 48/217,102/683

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 48,102

Greatest Common Factor of Numerators i.e. GCF of 48,102 is 6 .

LCM of Denominators means LCM of 217,683 as per the given fractions.

LCM of 217,683 is 148211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,102

GCF of Fractions 48/217,102/683 is 6/148211

2 48, 102
3 24, 51
8, 17

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 48,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,102 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 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 48,102 . The biggest common factor number is the GCF number.
So the greatest common factor 48,102 is 6.

Lets's calculate LCM of 217,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 148211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/148211

Therefore, the GCF of Fractions 48/217,102/683 is 6/148211

Least Common Multiple of 217,683 with GCF Formula

Least Common Multiple of 217,683 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 217,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,683) = 1

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

GCF(217,683) x common factors =1 x 1 = 1

LCM(217,683) = ( 217 × 683 ) / 1

LCM(217,683) = 148211 / 1

LCM(217,683) = 148211


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 48/217, 102/683

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 48/217, 102/683?

Answer: GCF of Numerators as per given numbers 48/217, 102/683 is

GCF of Numerators i.e. for 48,102 is 6

LCM of denominators i.e. for 217,683 is 148211.

Thus, GCF of Fractions is 6/148211.Finally, GCF of Fractions for 48/217, 102/683 is 6/148211.