Greatest Common Factor of 7196/660, 1453/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7196/660, 1453/934

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 7196/660,1453/934

Given fractions are 7196/660,1453/934

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 7196,1453

Greatest Common Factor of Numerators i.e. GCF of 7196,1453 is 1 .

LCM of Denominators means LCM of 660,934 as per the given fractions.

LCM of 660,934 is 308220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7196,1453

GCF of Fractions 7196/660,1453/934 is 1/308220

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7196,1453 By Matching Biggest Common Factor Method

Greatest Common Factor of 7196,1453 By Matching Biggest Common Factor Method

Factors of 7196

List of positive integer factors of 7196 that divides 7196 without a remainder.

1,2,4,7,14,28,257,514,1028,1799,3598,7196

Factors of 1453

List of positive integer factors of 1453 that divides 1453 without a remainder.

1,1453

Greatest Common Factor

We found the factors 7196,1453 . The biggest common factor number is the GCF number.
So the greatest common factor 7196,1453 is 1.

Lets's calculate LCM of 660,934

2 660, 934
330, 467

∴ So the LCM of the given numbers is 2 x 330 x 467 = 308220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308220

Therefore, the GCF of Fractions 7196/660,1453/934 is 1/308220

Least Common Multiple of 660,934 with GCF Formula

Least Common Multiple of 660,934 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 660,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,934) = 2

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

GCF(660,934) x common factors =2 x 1 = 2

LCM(660,934) = ( 660 × 934 ) / 2

LCM(660,934) = 616440 / 2

LCM(660,934) = 308220


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 7196/660, 1453/934

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 7196/660, 1453/934?

Answer: GCF of Numerators as per given numbers 7196/660, 1453/934 is

GCF of Numerators i.e. for 7196,1453 is 1

LCM of denominators i.e. for 660,934 is 308220.

Thus, GCF of Fractions is 1/308220.Finally, GCF of Fractions for 7196/660, 1453/934 is 1/308220.