Greatest Common Factor of 73/23, 70/96, 267/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/23, 70/96, 267/642

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 73/23,70/96,267/642

Given fractions are 73/23,70/96,267/642

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 73,70,267

Greatest Common Factor of Numerators i.e. GCF of 73,70,267 is 1 .

LCM of Denominators means LCM of 23,96,642 as per the given fractions.

LCM of 23,96,642 is 236256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,70,267

GCF of Fractions 73/23,70/96,267/642 is 1/236256

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

Greatest Common Factor of 73,70,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,70,267 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 73,70,267 . The biggest common factor number is the GCF number.
So the greatest common factor 73,70,267 is 1.

Lets's calculate LCM of 23,96,642

2 23, 96, 642
3 23, 48, 321
23, 16, 107

∴ So the LCM of the given numbers is 2 x 3 x 23 x 16 x 107 = 236256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236256

Therefore, the GCF of Fractions 73/23,70/96,267/642 is 1/236256

Least Common Multiple of 23,96,642 with GCF Formula

Least Common Multiple of 23,96,642 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 23,96,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,96,642) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(23,96,642) x common factors =1 x 6 = 6

LCM(23,96,642) = ( 23 × 96 × 642 ) / 6

LCM(23,96,642) = 1417536 / 6

LCM(23,96,642) = 236256


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 73/23, 70/96, 267/642

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 73/23, 70/96, 267/642?

Answer: GCF of Numerators as per given numbers 73/23, 70/96, 267/642 is

GCF of Numerators i.e. for 73,70,267 is 1

LCM of denominators i.e. for 23,96,642 is 236256.

Thus, GCF of Fractions is 1/236256.Finally, GCF of Fractions for 73/23, 70/96, 267/642 is 1/236256.