Greatest Common Factor of 3319/823, 9602/4745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3319/823, 9602/4745

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 3319/823,9602/4745

Given fractions are 3319/823,9602/4745

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 3319,9602

Greatest Common Factor of Numerators i.e. GCF of 3319,9602 is 1 .

LCM of Denominators means LCM of 823,4745 as per the given fractions.

LCM of 823,4745 is 3905135 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3319,9602

GCF of Fractions 3319/823,9602/4745 is 1/3905135

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

Greatest Common Factor of 3319,9602 By Matching Biggest Common Factor Method

Greatest Common Factor of 3319,9602 By Matching Biggest Common Factor Method

Factors of 3319

List of positive integer factors of 3319 that divides 3319 without a remainder.

1,3319

Factors of 9602

List of positive integer factors of 9602 that divides 9602 without a remainder.

1,2,4801,9602

Greatest Common Factor

We found the factors 3319,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 3319,9602 is 1.

Lets's calculate LCM of 823,4745

Given numbers has no common factors except 1. So, there LCM is their product i.e 3905135

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3905135

Therefore, the GCF of Fractions 3319/823,9602/4745 is 1/3905135

Least Common Multiple of 823,4745 with GCF Formula

Least Common Multiple of 823,4745 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 823,4745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,4745) = 1

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

GCF(823,4745) x common factors =1 x 1 = 1

LCM(823,4745) = ( 823 × 4745 ) / 1

LCM(823,4745) = 3905135 / 1

LCM(823,4745) = 3905135


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 3319/823, 9602/4745

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 3319/823, 9602/4745?

Answer: GCF of Numerators as per given numbers 3319/823, 9602/4745 is

GCF of Numerators i.e. for 3319,9602 is 1

LCM of denominators i.e. for 823,4745 is 3905135.

Thus, GCF of Fractions is 1/3905135.Finally, GCF of Fractions for 3319/823, 9602/4745 is 1/3905135.