Greatest Common Factor of 393/35, 237/86, 597/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 393/35, 237/86, 597/977

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 393/35,237/86,597/977

Given fractions are 393/35,237/86,597/977

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 393,237,597

Greatest Common Factor of Numerators i.e. GCF of 393,237,597 is 3 .

LCM of Denominators means LCM of 35,86,977 as per the given fractions.

LCM of 35,86,977 is 2940770 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 393,237,597

GCF of Fractions 393/35,237/86,597/977 is 3/2940770

3 393, 237, 597
131, 79, 199

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

Greatest Common Factor of 393,237,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 393,237,597 By Matching Biggest Common Factor Method

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 597

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

1,3,199,597

Greatest Common Factor

We found the factors 393,237,597 . The biggest common factor number is the GCF number.
So the greatest common factor 393,237,597 is 3.

Lets's calculate LCM of 35,86,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 2940770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2940770

Therefore, the GCF of Fractions 393/35,237/86,597/977 is 3/2940770

Least Common Multiple of 35,86,977 with GCF Formula

Least Common Multiple of 35,86,977 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 35,86,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,86,977) = 1

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

GCF(35,86,977) x common factors =1 x 1 = 1

LCM(35,86,977) = ( 35 × 86 × 977 ) / 1

LCM(35,86,977) = 2940770 / 1

LCM(35,86,977) = 2940770


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 393/35, 237/86, 597/977

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 393/35, 237/86, 597/977?

Answer: GCF of Numerators as per given numbers 393/35, 237/86, 597/977 is

GCF of Numerators i.e. for 393,237,597 is 3

LCM of denominators i.e. for 35,86,977 is 2940770.

Thus, GCF of Fractions is 3/2940770.Finally, GCF of Fractions for 393/35, 237/86, 597/977 is 3/2940770.