Greatest Common Factor of 8417/27, 9504/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8417/27, 9504/782

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 8417/27,9504/782

Given fractions are 8417/27,9504/782

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 8417,9504

Greatest Common Factor of Numerators i.e. GCF of 8417,9504 is 1 .

LCM of Denominators means LCM of 27,782 as per the given fractions.

LCM of 27,782 is 21114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8417,9504

GCF of Fractions 8417/27,9504/782 is 1/21114

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

Greatest Common Factor of 8417,9504 By Matching Biggest Common Factor Method

Greatest Common Factor of 8417,9504 By Matching Biggest Common Factor Method

Factors of 8417

List of positive integer factors of 8417 that divides 8417 without a remainder.

1,19,443,8417

Factors of 9504

List of positive integer factors of 9504 that divides 9504 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,32,33,36,44,48,54,66,72,88,96,99,108,132,144,176,198,216,264,288,297,352,396,432,528,594,792,864,1056,1188,1584,2376,3168,4752,9504

Greatest Common Factor

We found the factors 8417,9504 . The biggest common factor number is the GCF number.
So the greatest common factor 8417,9504 is 1.

Lets's calculate LCM of 27,782

Given numbers has no common factors except 1. So, there LCM is their product i.e 21114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21114

Therefore, the GCF of Fractions 8417/27,9504/782 is 1/21114

Least Common Multiple of 27,782 with GCF Formula

Least Common Multiple of 27,782 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 27,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,782) = 1

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

GCF(27,782) x common factors =1 x 1 = 1

LCM(27,782) = ( 27 × 782 ) / 1

LCM(27,782) = 21114 / 1

LCM(27,782) = 21114


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 8417/27, 9504/782

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 8417/27, 9504/782?

Answer: GCF of Numerators as per given numbers 8417/27, 9504/782 is

GCF of Numerators i.e. for 8417,9504 is 1

LCM of denominators i.e. for 27,782 is 21114.

Thus, GCF of Fractions is 1/21114.Finally, GCF of Fractions for 8417/27, 9504/782 is 1/21114.