Greatest Common Factor of 3834/980, 6612/4835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3834/980, 6612/4835

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 3834/980,6612/4835

Given fractions are 3834/980,6612/4835

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 3834,6612

Greatest Common Factor of Numerators i.e. GCF of 3834,6612 is 6 .

LCM of Denominators means LCM of 980,4835 as per the given fractions.

LCM of 980,4835 is 947660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3834,6612

GCF of Fractions 3834/980,6612/4835 is 6/947660

2 3834, 6612
3 1917, 3306
639, 1102

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

Greatest Common Factor of 3834,6612 By Matching Biggest Common Factor Method

Greatest Common Factor of 3834,6612 By Matching Biggest Common Factor Method

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Factors of 6612

List of positive integer factors of 6612 that divides 6612 without a remainder.

1,2,3,4,6,12,19,29,38,57,58,76,87,114,116,174,228,348,551,1102,1653,2204,3306,6612

Greatest Common Factor

We found the factors 3834,6612 . The biggest common factor number is the GCF number.
So the greatest common factor 3834,6612 is 6.

Lets's calculate LCM of 980,4835

5 980, 4835
196, 967

∴ So the LCM of the given numbers is 5 x 196 x 967 = 947660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/947660

Therefore, the GCF of Fractions 3834/980,6612/4835 is 6/947660

Least Common Multiple of 980,4835 with GCF Formula

Least Common Multiple of 980,4835 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 980,4835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,4835) = 5

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

GCF(980,4835) x common factors =5 x 1 = 5

LCM(980,4835) = ( 980 × 4835 ) / 5

LCM(980,4835) = 4738300 / 5

LCM(980,4835) = 947660


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 3834/980, 6612/4835

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 3834/980, 6612/4835?

Answer: GCF of Numerators as per given numbers 3834/980, 6612/4835 is

GCF of Numerators i.e. for 3834,6612 is 6

LCM of denominators i.e. for 980,4835 is 947660.

Thus, GCF of Fractions is 6/947660.Finally, GCF of Fractions for 3834/980, 6612/4835 is 6/947660.