Greatest Common Factor of 8729/35, 5466/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8729/35, 5466/475

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 8729/35,5466/475

Given fractions are 8729/35,5466/475

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 8729,5466

Greatest Common Factor of Numerators i.e. GCF of 8729,5466 is 1 .

LCM of Denominators means LCM of 35,475 as per the given fractions.

LCM of 35,475 is 3325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8729,5466

GCF of Fractions 8729/35,5466/475 is 1/3325

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

Greatest Common Factor of 8729,5466 By Matching Biggest Common Factor Method

Greatest Common Factor of 8729,5466 By Matching Biggest Common Factor Method

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1,7,29,43,203,301,1247,8729

Factors of 5466

List of positive integer factors of 5466 that divides 5466 without a remainder.

1,2,3,6,911,1822,2733,5466

Greatest Common Factor

We found the factors 8729,5466 . The biggest common factor number is the GCF number.
So the greatest common factor 8729,5466 is 1.

Lets's calculate LCM of 35,475

5 35, 475
7, 95

∴ So the LCM of the given numbers is 5 x 7 x 95 = 3325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3325

Therefore, the GCF of Fractions 8729/35,5466/475 is 1/3325

Least Common Multiple of 35,475 with GCF Formula

Least Common Multiple of 35,475 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 35,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,475) = 5

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

GCF(35,475) x common factors =5 x 1 = 5

LCM(35,475) = ( 35 × 475 ) / 5

LCM(35,475) = 16625 / 5

LCM(35,475) = 3325


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 8729/35, 5466/475

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 8729/35, 5466/475?

Answer: GCF of Numerators as per given numbers 8729/35, 5466/475 is

GCF of Numerators i.e. for 8729,5466 is 1

LCM of denominators i.e. for 35,475 is 3325.

Thus, GCF of Fractions is 1/3325.Finally, GCF of Fractions for 8729/35, 5466/475 is 1/3325.