Greatest Common Factor of 8218/473, 9577/6779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8218/473, 9577/6779

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 8218/473,9577/6779

Given fractions are 8218/473,9577/6779

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 8218,9577

Greatest Common Factor of Numerators i.e. GCF of 8218,9577 is 1 .

LCM of Denominators means LCM of 473,6779 as per the given fractions.

LCM of 473,6779 is 3206467 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8218,9577

GCF of Fractions 8218/473,9577/6779 is 1/3206467

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

Greatest Common Factor of 8218,9577 By Matching Biggest Common Factor Method

Greatest Common Factor of 8218,9577 By Matching Biggest Common Factor Method

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1,2,7,14,587,1174,4109,8218

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1,61,157,9577

Greatest Common Factor

We found the factors 8218,9577 . The biggest common factor number is the GCF number.
So the greatest common factor 8218,9577 is 1.

Lets's calculate LCM of 473,6779

Given numbers has no common factors except 1. So, there LCM is their product i.e 3206467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3206467

Therefore, the GCF of Fractions 8218/473,9577/6779 is 1/3206467

Least Common Multiple of 473,6779 with GCF Formula

Least Common Multiple of 473,6779 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 473,6779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,6779) = 1

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

GCF(473,6779) x common factors =1 x 1 = 1

LCM(473,6779) = ( 473 × 6779 ) / 1

LCM(473,6779) = 3206467 / 1

LCM(473,6779) = 3206467


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 8218/473, 9577/6779

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 8218/473, 9577/6779?

Answer: GCF of Numerators as per given numbers 8218/473, 9577/6779 is

GCF of Numerators i.e. for 8218,9577 is 1

LCM of denominators i.e. for 473,6779 is 3206467.

Thus, GCF of Fractions is 1/3206467.Finally, GCF of Fractions for 8218/473, 9577/6779 is 1/3206467.