Greatest Common Factor of 102/84, 9942/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 102/84, 9942/103

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 102/84,9942/103

Given fractions are 102/84,9942/103

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 102,9942

Greatest Common Factor of Numerators i.e. GCF of 102,9942 is 6 .

LCM of Denominators means LCM of 84,103 as per the given fractions.

LCM of 84,103 is 8652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 102,9942

GCF of Fractions 102/84,9942/103 is 6/8652

2 102, 9942
3 51, 4971
17, 1657

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

Greatest Common Factor of 102,9942 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,9942 By Matching Biggest Common Factor Method

Factors of 102

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

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

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Greatest Common Factor

We found the factors 102,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 102,9942 is 6.

Lets's calculate LCM of 84,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 8652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8652

Therefore, the GCF of Fractions 102/84,9942/103 is 6/8652

Least Common Multiple of 84,103 with GCF Formula

Least Common Multiple of 84,103 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 84,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,103) = 1

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

GCF(84,103) x common factors =1 x 1 = 1

LCM(84,103) = ( 84 × 103 ) / 1

LCM(84,103) = 8652 / 1

LCM(84,103) = 8652


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 102/84, 9942/103

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 102/84, 9942/103?

Answer: GCF of Numerators as per given numbers 102/84, 9942/103 is

GCF of Numerators i.e. for 102,9942 is 6

LCM of denominators i.e. for 84,103 is 8652.

Thus, GCF of Fractions is 6/8652.Finally, GCF of Fractions for 102/84, 9942/103 is 6/8652.