Greatest Common Factor of 3834/704, 6411/5142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3834/704, 6411/5142

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 3834/704,6411/5142

Given fractions are 3834/704,6411/5142

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 3834,6411

Greatest Common Factor of Numerators i.e. GCF of 3834,6411 is 3 .

LCM of Denominators means LCM of 704,5142 as per the given fractions.

LCM of 704,5142 is 1809984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3834,6411

GCF of Fractions 3834/704,6411/5142 is 3/1809984

3 3834, 6411
1278, 2137

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3834,6411 By Matching Biggest Common Factor Method

Greatest Common Factor of 3834,6411 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 6411

List of positive integer factors of 6411 that divides 6411 without a remainder.

1,3,2137,6411

Greatest Common Factor

We found the factors 3834,6411 . The biggest common factor number is the GCF number.
So the greatest common factor 3834,6411 is 3.

Lets's calculate LCM of 704,5142

2 704, 5142
352, 2571

∴ So the LCM of the given numbers is 2 x 352 x 2571 = 1809984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1809984

Therefore, the GCF of Fractions 3834/704,6411/5142 is 3/1809984

Least Common Multiple of 704,5142 with GCF Formula

Least Common Multiple of 704,5142 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 704,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,5142) = 2

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

GCF(704,5142) x common factors =2 x 1 = 2

LCM(704,5142) = ( 704 × 5142 ) / 2

LCM(704,5142) = 3619968 / 2

LCM(704,5142) = 1809984


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 3834/704, 6411/5142

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 3834/704, 6411/5142?

Answer: GCF of Numerators as per given numbers 3834/704, 6411/5142 is

GCF of Numerators i.e. for 3834,6411 is 3

LCM of denominators i.e. for 704,5142 is 1809984.

Thus, GCF of Fractions is 3/1809984.Finally, GCF of Fractions for 3834/704, 6411/5142 is 3/1809984.