Greatest Common Factor of 9245/442, 8911/4574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9245/442, 8911/4574

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 9245/442,8911/4574

Given fractions are 9245/442,8911/4574

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 9245,8911

Greatest Common Factor of Numerators i.e. GCF of 9245,8911 is 1 .

LCM of Denominators means LCM of 442,4574 as per the given fractions.

LCM of 442,4574 is 1010854 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9245,8911

GCF of Fractions 9245/442,8911/4574 is 1/1010854

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

Greatest Common Factor of 9245,8911 By Matching Biggest Common Factor Method

Greatest Common Factor of 9245,8911 By Matching Biggest Common Factor Method

Factors of 9245

List of positive integer factors of 9245 that divides 9245 without a remainder.

1,5,43,215,1849,9245

Factors of 8911

List of positive integer factors of 8911 that divides 8911 without a remainder.

1,7,19,67,133,469,1273,8911

Greatest Common Factor

We found the factors 9245,8911 . The biggest common factor number is the GCF number.
So the greatest common factor 9245,8911 is 1.

Lets's calculate LCM of 442,4574

2 442, 4574
221, 2287

∴ So the LCM of the given numbers is 2 x 221 x 2287 = 1010854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1010854

Therefore, the GCF of Fractions 9245/442,8911/4574 is 1/1010854

Least Common Multiple of 442,4574 with GCF Formula

Least Common Multiple of 442,4574 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 442,4574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,4574) = 2

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

GCF(442,4574) x common factors =2 x 1 = 2

LCM(442,4574) = ( 442 × 4574 ) / 2

LCM(442,4574) = 2021708 / 2

LCM(442,4574) = 1010854


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 9245/442, 8911/4574

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 9245/442, 8911/4574?

Answer: GCF of Numerators as per given numbers 9245/442, 8911/4574 is

GCF of Numerators i.e. for 9245,8911 is 1

LCM of denominators i.e. for 442,4574 is 1010854.

Thus, GCF of Fractions is 1/1010854.Finally, GCF of Fractions for 9245/442, 8911/4574 is 1/1010854.