Greatest Common Factor of 1952/728, 7333/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1952/728, 7333/230

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 1952/728,7333/230

Given fractions are 1952/728,7333/230

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 1952,7333

Greatest Common Factor of Numerators i.e. GCF of 1952,7333 is 1 .

LCM of Denominators means LCM of 728,230 as per the given fractions.

LCM of 728,230 is 83720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1952,7333

GCF of Fractions 1952/728,7333/230 is 1/83720

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

Greatest Common Factor of 1952,7333 By Matching Biggest Common Factor Method

Greatest Common Factor of 1952,7333 By Matching Biggest Common Factor Method

Factors of 1952

List of positive integer factors of 1952 that divides 1952 without a remainder.

1,2,4,8,16,32,61,122,244,488,976,1952

Factors of 7333

List of positive integer factors of 7333 that divides 7333 without a remainder.

1,7333

Greatest Common Factor

We found the factors 1952,7333 . The biggest common factor number is the GCF number.
So the greatest common factor 1952,7333 is 1.

Lets's calculate LCM of 728,230

2 728, 230
364, 115

∴ So the LCM of the given numbers is 2 x 364 x 115 = 83720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83720

Therefore, the GCF of Fractions 1952/728,7333/230 is 1/83720

Least Common Multiple of 728,230 with GCF Formula

Least Common Multiple of 728,230 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 728,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,230) = 2

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

GCF(728,230) x common factors =2 x 1 = 2

LCM(728,230) = ( 728 × 230 ) / 2

LCM(728,230) = 167440 / 2

LCM(728,230) = 83720


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 1952/728, 7333/230

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 1952/728, 7333/230?

Answer: GCF of Numerators as per given numbers 1952/728, 7333/230 is

GCF of Numerators i.e. for 1952,7333 is 1

LCM of denominators i.e. for 728,230 is 83720.

Thus, GCF of Fractions is 1/83720.Finally, GCF of Fractions for 1952/728, 7333/230 is 1/83720.