Greatest Common Factor of 3138/48, 9930/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3138/48, 9930/400

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 3138/48,9930/400

Given fractions are 3138/48,9930/400

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 3138,9930

Greatest Common Factor of Numerators i.e. GCF of 3138,9930 is 6 .

LCM of Denominators means LCM of 48,400 as per the given fractions.

LCM of 48,400 is 1200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3138,9930

GCF of Fractions 3138/48,9930/400 is 6/1200

2 3138, 9930
3 1569, 4965
523, 1655

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

Greatest Common Factor of 3138,9930 By Matching Biggest Common Factor Method

Greatest Common Factor of 3138,9930 By Matching Biggest Common Factor Method

Factors of 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1,2,3,6,523,1046,1569,3138

Factors of 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930

Greatest Common Factor

We found the factors 3138,9930 . The biggest common factor number is the GCF number.
So the greatest common factor 3138,9930 is 6.

Lets's calculate LCM of 48,400

2 48, 400
2 24, 200
2 12, 100
2 6, 50
3, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 25 = 1200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1200

Therefore, the GCF of Fractions 3138/48,9930/400 is 6/1200

Least Common Multiple of 48,400 with GCF Formula

Least Common Multiple of 48,400 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 48,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,400) = 16

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

GCF(48,400) x common factors =16 x 1 = 16

LCM(48,400) = ( 48 × 400 ) / 16

LCM(48,400) = 19200 / 16

LCM(48,400) = 1200


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 3138/48, 9930/400

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 3138/48, 9930/400?

Answer: GCF of Numerators as per given numbers 3138/48, 9930/400 is

GCF of Numerators i.e. for 3138,9930 is 6

LCM of denominators i.e. for 48,400 is 1200.

Thus, GCF of Fractions is 6/1200.Finally, GCF of Fractions for 3138/48, 9930/400 is 6/1200.