Greatest Common Factor of 4237/193, 8797/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4237/193, 8797/746

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 4237/193,8797/746

Given fractions are 4237/193,8797/746

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 4237,8797

Greatest Common Factor of Numerators i.e. GCF of 4237,8797 is 19 .

LCM of Denominators means LCM of 193,746 as per the given fractions.

LCM of 193,746 is 143978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4237,8797

GCF of Fractions 4237/193,8797/746 is 19/143978

19 4237, 8797
223, 463

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4237,8797 By Matching Biggest Common Factor Method

Greatest Common Factor of 4237,8797 By Matching Biggest Common Factor Method

Factors of 4237

List of positive integer factors of 4237 that divides 4237 without a remainder.

1,19,223,4237

Factors of 8797

List of positive integer factors of 8797 that divides 8797 without a remainder.

1,19,463,8797

Greatest Common Factor

We found the factors 4237,8797 . The biggest common factor number is the GCF number.
So the greatest common factor 4237,8797 is 19.

Lets's calculate LCM of 193,746

Given numbers has no common factors except 1. So, there LCM is their product i.e 143978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/143978

Therefore, the GCF of Fractions 4237/193,8797/746 is 19/143978

Least Common Multiple of 193,746 with GCF Formula

Least Common Multiple of 193,746 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 193,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(193,746) = 1

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

GCF(193,746) x common factors =1 x 1 = 1

LCM(193,746) = ( 193 × 746 ) / 1

LCM(193,746) = 143978 / 1

LCM(193,746) = 143978


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 4237/193, 8797/746

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 4237/193, 8797/746?

Answer: GCF of Numerators as per given numbers 4237/193, 8797/746 is

GCF of Numerators i.e. for 4237,8797 is 19

LCM of denominators i.e. for 193,746 is 143978.

Thus, GCF of Fractions is 19/143978.Finally, GCF of Fractions for 4237/193, 8797/746 is 19/143978.