Greatest Common Factor of 718/784, 6404/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 718/784, 6404/707

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 718/784,6404/707

Given fractions are 718/784,6404/707

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 718,6404

Greatest Common Factor of Numerators i.e. GCF of 718,6404 is 2 .

LCM of Denominators means LCM of 784,707 as per the given fractions.

LCM of 784,707 is 79184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 718,6404

GCF of Fractions 718/784,6404/707 is 2/79184

2 718, 6404
359, 3202

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

Greatest Common Factor of 718,6404 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,6404 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1,2,4,1601,3202,6404

Greatest Common Factor

We found the factors 718,6404 . The biggest common factor number is the GCF number.
So the greatest common factor 718,6404 is 2.

Lets's calculate LCM of 784,707

7 784, 707
112, 101

∴ So the LCM of the given numbers is 7 x 112 x 101 = 79184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79184

Therefore, the GCF of Fractions 718/784,6404/707 is 2/79184

Least Common Multiple of 784,707 with GCF Formula

Least Common Multiple of 784,707 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 784,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,707) = 7

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

GCF(784,707) x common factors =7 x 1 = 7

LCM(784,707) = ( 784 × 707 ) / 7

LCM(784,707) = 554288 / 7

LCM(784,707) = 79184


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 718/784, 6404/707

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 718/784, 6404/707?

Answer: GCF of Numerators as per given numbers 718/784, 6404/707 is

GCF of Numerators i.e. for 718,6404 is 2

LCM of denominators i.e. for 784,707 is 79184.

Thus, GCF of Fractions is 2/79184.Finally, GCF of Fractions for 718/784, 6404/707 is 2/79184.