Greatest Common Factor of 694/728, 3492/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 694/728, 3492/312

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 694/728,3492/312

Given fractions are 694/728,3492/312

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 694,3492

Greatest Common Factor of Numerators i.e. GCF of 694,3492 is 2 .

LCM of Denominators means LCM of 728,312 as per the given fractions.

LCM of 728,312 is 2184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 694,3492

GCF of Fractions 694/728,3492/312 is 2/2184

2 694, 3492
347, 1746

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

Greatest Common Factor of 694,3492 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,3492 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Greatest Common Factor

We found the factors 694,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 694,3492 is 2.

Lets's calculate LCM of 728,312

2 728, 312
2 364, 156
2 182, 78
13 91, 39
7, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 7 x 3 = 2184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2184

Therefore, the GCF of Fractions 694/728,3492/312 is 2/2184

Least Common Multiple of 728,312 with GCF Formula

Least Common Multiple of 728,312 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 728,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,312) = 104

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

GCF(728,312) x common factors =104 x 1 = 104

LCM(728,312) = ( 728 × 312 ) / 104

LCM(728,312) = 227136 / 104

LCM(728,312) = 2184


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 694/728, 3492/312

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 694/728, 3492/312?

Answer: GCF of Numerators as per given numbers 694/728, 3492/312 is

GCF of Numerators i.e. for 694,3492 is 2

LCM of denominators i.e. for 728,312 is 2184.

Thus, GCF of Fractions is 2/2184.Finally, GCF of Fractions for 694/728, 3492/312 is 2/2184.