Greatest Common Factor of 3817/285, 6988/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3817/285, 6988/724

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 3817/285,6988/724

Given fractions are 3817/285,6988/724

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 3817,6988

Greatest Common Factor of Numerators i.e. GCF of 3817,6988 is 1 .

LCM of Denominators means LCM of 285,724 as per the given fractions.

LCM of 285,724 is 206340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3817,6988

GCF of Fractions 3817/285,6988/724 is 1/206340

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

Greatest Common Factor of 3817,6988 By Matching Biggest Common Factor Method

Greatest Common Factor of 3817,6988 By Matching Biggest Common Factor Method

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1,2,4,1747,3494,6988

Greatest Common Factor

We found the factors 3817,6988 . The biggest common factor number is the GCF number.
So the greatest common factor 3817,6988 is 1.

Lets's calculate LCM of 285,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 206340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206340

Therefore, the GCF of Fractions 3817/285,6988/724 is 1/206340

Least Common Multiple of 285,724 with GCF Formula

Least Common Multiple of 285,724 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 285,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,724) = 1

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

GCF(285,724) x common factors =1 x 1 = 1

LCM(285,724) = ( 285 × 724 ) / 1

LCM(285,724) = 206340 / 1

LCM(285,724) = 206340


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 3817/285, 6988/724

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 3817/285, 6988/724?

Answer: GCF of Numerators as per given numbers 3817/285, 6988/724 is

GCF of Numerators i.e. for 3817,6988 is 1

LCM of denominators i.e. for 285,724 is 206340.

Thus, GCF of Fractions is 1/206340.Finally, GCF of Fractions for 3817/285, 6988/724 is 1/206340.