Greatest Common Factor of 4417/47, 1676/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4417/47, 1676/809

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 4417/47,1676/809

Given fractions are 4417/47,1676/809

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 4417,1676

Greatest Common Factor of Numerators i.e. GCF of 4417,1676 is 1 .

LCM of Denominators means LCM of 47,809 as per the given fractions.

LCM of 47,809 is 38023 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4417,1676

GCF of Fractions 4417/47,1676/809 is 1/38023

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

Greatest Common Factor of 4417,1676 By Matching Biggest Common Factor Method

Greatest Common Factor of 4417,1676 By Matching Biggest Common Factor Method

Factors of 4417

List of positive integer factors of 4417 that divides 4417 without a remainder.

1,7,631,4417

Factors of 1676

List of positive integer factors of 1676 that divides 1676 without a remainder.

1,2,4,419,838,1676

Greatest Common Factor

We found the factors 4417,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 4417,1676 is 1.

Lets's calculate LCM of 47,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 38023

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38023

Therefore, the GCF of Fractions 4417/47,1676/809 is 1/38023

Least Common Multiple of 47,809 with GCF Formula

Least Common Multiple of 47,809 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 47,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,809) = 1

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

GCF(47,809) x common factors =1 x 1 = 1

LCM(47,809) = ( 47 × 809 ) / 1

LCM(47,809) = 38023 / 1

LCM(47,809) = 38023


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 4417/47, 1676/809

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 4417/47, 1676/809?

Answer: GCF of Numerators as per given numbers 4417/47, 1676/809 is

GCF of Numerators i.e. for 4417,1676 is 1

LCM of denominators i.e. for 47,809 is 38023.

Thus, GCF of Fractions is 1/38023.Finally, GCF of Fractions for 4417/47, 1676/809 is 1/38023.