Greatest Common Factor of 7345/692, 7309/896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7345/692, 7309/896

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 7345/692,7309/896

Given fractions are 7345/692,7309/896

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 7345,7309

Greatest Common Factor of Numerators i.e. GCF of 7345,7309 is 1 .

LCM of Denominators means LCM of 692,896 as per the given fractions.

LCM of 692,896 is 155008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7345,7309

GCF of Fractions 7345/692,7309/896 is 1/155008

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

Greatest Common Factor of 7345,7309 By Matching Biggest Common Factor Method

Greatest Common Factor of 7345,7309 By Matching Biggest Common Factor Method

Factors of 7345

List of positive integer factors of 7345 that divides 7345 without a remainder.

1,5,13,65,113,565,1469,7345

Factors of 7309

List of positive integer factors of 7309 that divides 7309 without a remainder.

1,7309

Greatest Common Factor

We found the factors 7345,7309 . The biggest common factor number is the GCF number.
So the greatest common factor 7345,7309 is 1.

Lets's calculate LCM of 692,896

2 692, 896
2 346, 448
173, 224

∴ So the LCM of the given numbers is 2 x 2 x 173 x 224 = 155008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/155008

Therefore, the GCF of Fractions 7345/692,7309/896 is 1/155008

Least Common Multiple of 692,896 with GCF Formula

Least Common Multiple of 692,896 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 692,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,896) = 4

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

GCF(692,896) x common factors =4 x 1 = 4

LCM(692,896) = ( 692 × 896 ) / 4

LCM(692,896) = 620032 / 4

LCM(692,896) = 155008


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 7345/692, 7309/896

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 7345/692, 7309/896?

Answer: GCF of Numerators as per given numbers 7345/692, 7309/896 is

GCF of Numerators i.e. for 7345,7309 is 1

LCM of denominators i.e. for 692,896 is 155008.

Thus, GCF of Fractions is 1/155008.Finally, GCF of Fractions for 7345/692, 7309/896 is 1/155008.