Greatest Common Factor of 725/550, 8033/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/550, 8033/142

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 725/550,8033/142

Given fractions are 725/550,8033/142

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 725,8033

Greatest Common Factor of Numerators i.e. GCF of 725,8033 is 29 .

LCM of Denominators means LCM of 550,142 as per the given fractions.

LCM of 550,142 is 39050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,8033

GCF of Fractions 725/550,8033/142 is 29/39050

29 725, 8033
25, 277

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 725,8033 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,8033 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 8033

List of positive integer factors of 8033 that divides 8033 without a remainder.

1,29,277,8033

Greatest Common Factor

We found the factors 725,8033 . The biggest common factor number is the GCF number.
So the greatest common factor 725,8033 is 29.

Lets's calculate LCM of 550,142

2 550, 142
275, 71

∴ So the LCM of the given numbers is 2 x 275 x 71 = 39050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/39050

Therefore, the GCF of Fractions 725/550,8033/142 is 29/39050

Least Common Multiple of 550,142 with GCF Formula

Least Common Multiple of 550,142 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 550,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,142) = 2

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

GCF(550,142) x common factors =2 x 1 = 2

LCM(550,142) = ( 550 × 142 ) / 2

LCM(550,142) = 78100 / 2

LCM(550,142) = 39050


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 725/550, 8033/142

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 725/550, 8033/142?

Answer: GCF of Numerators as per given numbers 725/550, 8033/142 is

GCF of Numerators i.e. for 725,8033 is 29

LCM of denominators i.e. for 550,142 is 39050.

Thus, GCF of Fractions is 29/39050.Finally, GCF of Fractions for 725/550, 8033/142 is 29/39050.