Greatest Common Factor of 3463/15, 3164/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3463/15, 3164/111

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 3463/15,3164/111

Given fractions are 3463/15,3164/111

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 3463,3164

Greatest Common Factor of Numerators i.e. GCF of 3463,3164 is 1 .

LCM of Denominators means LCM of 15,111 as per the given fractions.

LCM of 15,111 is 555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3463,3164

GCF of Fractions 3463/15,3164/111 is 1/555

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

Greatest Common Factor of 3463,3164 By Matching Biggest Common Factor Method

Greatest Common Factor of 3463,3164 By Matching Biggest Common Factor Method

Factors of 3463

List of positive integer factors of 3463 that divides 3463 without a remainder.

1,3463

Factors of 3164

List of positive integer factors of 3164 that divides 3164 without a remainder.

1,2,4,7,14,28,113,226,452,791,1582,3164

Greatest Common Factor

We found the factors 3463,3164 . The biggest common factor number is the GCF number.
So the greatest common factor 3463,3164 is 1.

Lets's calculate LCM of 15,111

3 15, 111
5, 37

∴ So the LCM of the given numbers is 3 x 5 x 37 = 555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/555

Therefore, the GCF of Fractions 3463/15,3164/111 is 1/555

Least Common Multiple of 15,111 with GCF Formula

Least Common Multiple of 15,111 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 15,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,111) = 3

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

GCF(15,111) x common factors =3 x 1 = 3

LCM(15,111) = ( 15 × 111 ) / 3

LCM(15,111) = 1665 / 3

LCM(15,111) = 555


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 3463/15, 3164/111

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 3463/15, 3164/111?

Answer: GCF of Numerators as per given numbers 3463/15, 3164/111 is

GCF of Numerators i.e. for 3463,3164 is 1

LCM of denominators i.e. for 15,111 is 555.

Thus, GCF of Fractions is 1/555.Finally, GCF of Fractions for 3463/15, 3164/111 is 1/555.