Greatest Common Factor of 8717/635, 8003/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8717/635, 8003/928

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 8717/635,8003/928

Given fractions are 8717/635,8003/928

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 8717,8003

Greatest Common Factor of Numerators i.e. GCF of 8717,8003 is 1 .

LCM of Denominators means LCM of 635,928 as per the given fractions.

LCM of 635,928 is 589280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8717,8003

GCF of Fractions 8717/635,8003/928 is 1/589280

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

Greatest Common Factor of 8717,8003 By Matching Biggest Common Factor Method

Greatest Common Factor of 8717,8003 By Matching Biggest Common Factor Method

Factors of 8717

List of positive integer factors of 8717 that divides 8717 without a remainder.

1,23,379,8717

Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1,53,151,8003

Greatest Common Factor

We found the factors 8717,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 8717,8003 is 1.

Lets's calculate LCM of 635,928

Given numbers has no common factors except 1. So, there LCM is their product i.e 589280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/589280

Therefore, the GCF of Fractions 8717/635,8003/928 is 1/589280

Least Common Multiple of 635,928 with GCF Formula

Least Common Multiple of 635,928 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 635,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(635,928) = 1

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

GCF(635,928) x common factors =1 x 1 = 1

LCM(635,928) = ( 635 × 928 ) / 1

LCM(635,928) = 589280 / 1

LCM(635,928) = 589280


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 8717/635, 8003/928

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 8717/635, 8003/928?

Answer: GCF of Numerators as per given numbers 8717/635, 8003/928 is

GCF of Numerators i.e. for 8717,8003 is 1

LCM of denominators i.e. for 635,928 is 589280.

Thus, GCF of Fractions is 1/589280.Finally, GCF of Fractions for 8717/635, 8003/928 is 1/589280.