Greatest Common Factor of 8243/78, 4745/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8243/78, 4745/472

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 8243/78,4745/472

Given fractions are 8243/78,4745/472

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 8243,4745

Greatest Common Factor of Numerators i.e. GCF of 8243,4745 is 1 .

LCM of Denominators means LCM of 78,472 as per the given fractions.

LCM of 78,472 is 18408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8243,4745

GCF of Fractions 8243/78,4745/472 is 1/18408

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

Greatest Common Factor of 8243,4745 By Matching Biggest Common Factor Method

Greatest Common Factor of 8243,4745 By Matching Biggest Common Factor Method

Factors of 8243

List of positive integer factors of 8243 that divides 8243 without a remainder.

1,8243

Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1,5,13,65,73,365,949,4745

Greatest Common Factor

We found the factors 8243,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 8243,4745 is 1.

Lets's calculate LCM of 78,472

2 78, 472
39, 236

∴ So the LCM of the given numbers is 2 x 39 x 236 = 18408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18408

Therefore, the GCF of Fractions 8243/78,4745/472 is 1/18408

Least Common Multiple of 78,472 with GCF Formula

Least Common Multiple of 78,472 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 78,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,472) = 2

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

GCF(78,472) x common factors =2 x 1 = 2

LCM(78,472) = ( 78 × 472 ) / 2

LCM(78,472) = 36816 / 2

LCM(78,472) = 18408


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 8243/78, 4745/472

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 8243/78, 4745/472?

Answer: GCF of Numerators as per given numbers 8243/78, 4745/472 is

GCF of Numerators i.e. for 8243,4745 is 1

LCM of denominators i.e. for 78,472 is 18408.

Thus, GCF of Fractions is 1/18408.Finally, GCF of Fractions for 8243/78, 4745/472 is 1/18408.