Greatest Common Factor of 597/7094, 345/8833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 597/7094, 345/8833

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 597/7094,345/8833

Given fractions are 597/7094,345/8833

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 597,345

Greatest Common Factor of Numerators i.e. GCF of 597,345 is 3 .

LCM of Denominators means LCM of 7094,8833 as per the given fractions.

LCM of 7094,8833 is 62661302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 597,345

GCF of Fractions 597/7094,345/8833 is 3/62661302

3 597, 345
199, 115

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 597,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,345 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 597,345 . The biggest common factor number is the GCF number.
So the greatest common factor 597,345 is 3.

Lets's calculate LCM of 7094,8833

Given numbers has no common factors except 1. So, there LCM is their product i.e 62661302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62661302

Therefore, the GCF of Fractions 597/7094,345/8833 is 3/62661302

Least Common Multiple of 7094,8833 with GCF Formula

Least Common Multiple of 7094,8833 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 7094,8833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7094,8833) = 1

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

GCF(7094,8833) x common factors =1 x 1 = 1

LCM(7094,8833) = ( 7094 × 8833 ) / 1

LCM(7094,8833) = 62661302 / 1

LCM(7094,8833) = 62661302


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 597/7094, 345/8833

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 597/7094, 345/8833?

Answer: GCF of Numerators as per given numbers 597/7094, 345/8833 is

GCF of Numerators i.e. for 597,345 is 3

LCM of denominators i.e. for 7094,8833 is 62661302.

Thus, GCF of Fractions is 3/62661302.Finally, GCF of Fractions for 597/7094, 345/8833 is 3/62661302.