Greatest Common Factor of 704/828, 6114/1545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 704/828, 6114/1545

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 704/828,6114/1545

Given fractions are 704/828,6114/1545

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 704,6114

Greatest Common Factor of Numerators i.e. GCF of 704,6114 is 2 .

LCM of Denominators means LCM of 828,1545 as per the given fractions.

LCM of 828,1545 is 426420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 704,6114

GCF of Fractions 704/828,6114/1545 is 2/426420

2 704, 6114
352, 3057

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 704,6114 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,6114 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 6114

List of positive integer factors of 6114 that divides 6114 without a remainder.

1,2,3,6,1019,2038,3057,6114

Greatest Common Factor

We found the factors 704,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 704,6114 is 2.

Lets's calculate LCM of 828,1545

3 828, 1545
276, 515

∴ So the LCM of the given numbers is 3 x 276 x 515 = 426420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/426420

Therefore, the GCF of Fractions 704/828,6114/1545 is 2/426420

Least Common Multiple of 828,1545 with GCF Formula

Least Common Multiple of 828,1545 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 828,1545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,1545) = 3

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

GCF(828,1545) x common factors =3 x 1 = 3

LCM(828,1545) = ( 828 × 1545 ) / 3

LCM(828,1545) = 1279260 / 3

LCM(828,1545) = 426420


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 704/828, 6114/1545

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 704/828, 6114/1545?

Answer: GCF of Numerators as per given numbers 704/828, 6114/1545 is

GCF of Numerators i.e. for 704,6114 is 2

LCM of denominators i.e. for 828,1545 is 426420.

Thus, GCF of Fractions is 2/426420.Finally, GCF of Fractions for 704/828, 6114/1545 is 2/426420.