Greatest Common Factor of 3435/814, 4671/3995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3435/814, 4671/3995

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 3435/814,4671/3995

Given fractions are 3435/814,4671/3995

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 3435,4671

Greatest Common Factor of Numerators i.e. GCF of 3435,4671 is 3 .

LCM of Denominators means LCM of 814,3995 as per the given fractions.

LCM of 814,3995 is 3251930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3435,4671

GCF of Fractions 3435/814,4671/3995 is 3/3251930

3 3435, 4671
1145, 1557

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3435,4671 By Matching Biggest Common Factor Method

Greatest Common Factor of 3435,4671 By Matching Biggest Common Factor Method

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1,3,5,15,229,687,1145,3435

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1,3,9,27,173,519,1557,4671

Greatest Common Factor

We found the factors 3435,4671 . The biggest common factor number is the GCF number.
So the greatest common factor 3435,4671 is 3.

Lets's calculate LCM of 814,3995

Given numbers has no common factors except 1. So, there LCM is their product i.e 3251930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3251930

Therefore, the GCF of Fractions 3435/814,4671/3995 is 3/3251930

Least Common Multiple of 814,3995 with GCF Formula

Least Common Multiple of 814,3995 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 814,3995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,3995) = 1

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

GCF(814,3995) x common factors =1 x 1 = 1

LCM(814,3995) = ( 814 × 3995 ) / 1

LCM(814,3995) = 3251930 / 1

LCM(814,3995) = 3251930


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 3435/814, 4671/3995

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 3435/814, 4671/3995?

Answer: GCF of Numerators as per given numbers 3435/814, 4671/3995 is

GCF of Numerators i.e. for 3435,4671 is 3

LCM of denominators i.e. for 814,3995 is 3251930.

Thus, GCF of Fractions is 3/3251930.Finally, GCF of Fractions for 3435/814, 4671/3995 is 3/3251930.