Greatest Common Factor of 63/23, 735/47, 343/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/23, 735/47, 343/192

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 63/23,735/47,343/192

Given fractions are 63/23,735/47,343/192

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 63,735,343

Greatest Common Factor of Numerators i.e. GCF of 63,735,343 is 7 .

LCM of Denominators means LCM of 23,47,192 as per the given fractions.

LCM of 23,47,192 is 207552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,735,343

GCF of Fractions 63/23,735/47,343/192 is 7/207552

7 63, 735, 343
9, 105, 49

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 63,735,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,735,343 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 63,735,343 . The biggest common factor number is the GCF number.
So the greatest common factor 63,735,343 is 7.

Lets's calculate LCM of 23,47,192

Given numbers has no common factors except 1. So, there LCM is their product i.e 207552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/207552

Therefore, the GCF of Fractions 63/23,735/47,343/192 is 7/207552

Least Common Multiple of 23,47,192 with GCF Formula

Least Common Multiple of 23,47,192 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 23,47,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,47,192) = 1

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

GCF(23,47,192) x common factors =1 x 1 = 1

LCM(23,47,192) = ( 23 × 47 × 192 ) / 1

LCM(23,47,192) = 207552 / 1

LCM(23,47,192) = 207552


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 63/23, 735/47, 343/192

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 63/23, 735/47, 343/192?

Answer: GCF of Numerators as per given numbers 63/23, 735/47, 343/192 is

GCF of Numerators i.e. for 63,735,343 is 7

LCM of denominators i.e. for 23,47,192 is 207552.

Thus, GCF of Fractions is 7/207552.Finally, GCF of Fractions for 63/23, 735/47, 343/192 is 7/207552.