Greatest Common Factor of 17/814, 4029/3097

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/814, 4029/3097

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 17/814,4029/3097

Given fractions are 17/814,4029/3097

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 17,4029

Greatest Common Factor of Numerators i.e. GCF of 17,4029 is 17 .

LCM of Denominators means LCM of 814,3097 as per the given fractions.

LCM of 814,3097 is 2520958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,4029

GCF of Fractions 17/814,4029/3097 is 17/2520958

17 17, 4029
1, 237

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 17,4029 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,4029 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1,3,17,51,79,237,1343,4029

Greatest Common Factor

We found the factors 17,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 17,4029 is 17.

Lets's calculate LCM of 814,3097

Given numbers has no common factors except 1. So, there LCM is their product i.e 2520958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2520958

Therefore, the GCF of Fractions 17/814,4029/3097 is 17/2520958

Least Common Multiple of 814,3097 with GCF Formula

Least Common Multiple of 814,3097 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 814,3097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,3097) = 1

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

GCF(814,3097) x common factors =1 x 1 = 1

LCM(814,3097) = ( 814 × 3097 ) / 1

LCM(814,3097) = 2520958 / 1

LCM(814,3097) = 2520958


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 17/814, 4029/3097

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 17/814, 4029/3097?

Answer: GCF of Numerators as per given numbers 17/814, 4029/3097 is

GCF of Numerators i.e. for 17,4029 is 17

LCM of denominators i.e. for 814,3097 is 2520958.

Thus, GCF of Fractions is 17/2520958.Finally, GCF of Fractions for 17/814, 4029/3097 is 17/2520958.