Greatest Common Factor of 357/6973, 578/5175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/6973, 578/5175

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 357/6973,578/5175

Given fractions are 357/6973,578/5175

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 357,578

Greatest Common Factor of Numerators i.e. GCF of 357,578 is 17 .

LCM of Denominators means LCM of 6973,5175 as per the given fractions.

LCM of 6973,5175 is 36085275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,578

GCF of Fractions 357/6973,578/5175 is 17/36085275

17 357, 578
21, 34

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 357,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,578 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 357,578 . The biggest common factor number is the GCF number.
So the greatest common factor 357,578 is 17.

Lets's calculate LCM of 6973,5175

Given numbers has no common factors except 1. So, there LCM is their product i.e 36085275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/36085275

Therefore, the GCF of Fractions 357/6973,578/5175 is 17/36085275

Least Common Multiple of 6973,5175 with GCF Formula

Least Common Multiple of 6973,5175 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 6973,5175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6973,5175) = 1

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

GCF(6973,5175) x common factors =1 x 1 = 1

LCM(6973,5175) = ( 6973 × 5175 ) / 1

LCM(6973,5175) = 36085275 / 1

LCM(6973,5175) = 36085275


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 357/6973, 578/5175

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 357/6973, 578/5175?

Answer: GCF of Numerators as per given numbers 357/6973, 578/5175 is

GCF of Numerators i.e. for 357,578 is 17

LCM of denominators i.e. for 6973,5175 is 36085275.

Thus, GCF of Fractions is 17/36085275.Finally, GCF of Fractions for 357/6973, 578/5175 is 17/36085275.