Greatest Common Factor of 3014/40, 8496/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3014/40, 8496/215

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 3014/40,8496/215

Given fractions are 3014/40,8496/215

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 3014,8496

Greatest Common Factor of Numerators i.e. GCF of 3014,8496 is 2 .

LCM of Denominators means LCM of 40,215 as per the given fractions.

LCM of 40,215 is 1720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3014,8496

GCF of Fractions 3014/40,8496/215 is 2/1720

2 3014, 8496
1507, 4248

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3014,8496 By Matching Biggest Common Factor Method

Greatest Common Factor of 3014,8496 By Matching Biggest Common Factor Method

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Factors of 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496

Greatest Common Factor

We found the factors 3014,8496 . The biggest common factor number is the GCF number.
So the greatest common factor 3014,8496 is 2.

Lets's calculate LCM of 40,215

5 40, 215
8, 43

∴ So the LCM of the given numbers is 5 x 8 x 43 = 1720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1720

Therefore, the GCF of Fractions 3014/40,8496/215 is 2/1720

Least Common Multiple of 40,215 with GCF Formula

Least Common Multiple of 40,215 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 40,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,215) = 5

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

GCF(40,215) x common factors =5 x 1 = 5

LCM(40,215) = ( 40 × 215 ) / 5

LCM(40,215) = 8600 / 5

LCM(40,215) = 1720


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 3014/40, 8496/215

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 3014/40, 8496/215?

Answer: GCF of Numerators as per given numbers 3014/40, 8496/215 is

GCF of Numerators i.e. for 3014,8496 is 2

LCM of denominators i.e. for 40,215 is 1720.

Thus, GCF of Fractions is 2/1720.Finally, GCF of Fractions for 3014/40, 8496/215 is 2/1720.