Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/36,14/96,929/801
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 72,14,929
Greatest Common Factor of Numerators i.e. GCF of 72,14,929 is 1 .
LCM of Denominators means LCM of 36,96,801 as per the given fractions.
LCM of 36,96,801 is 25632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,14,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 72,14,929 . The biggest common factor number is the GCF number.
So the greatest common factor 72,14,929 is 1.
Lets's calculate LCM of 36,96,801
2 | 36, 96, 801 |
2 | 18, 48, 801 |
3 | 9, 24, 801 |
3 | 3, 8, 267 |
1, 8, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 8 x 89 = 25632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25632
Therefore, the GCF of Fractions 72/36,14/96,929/801 is 1/25632
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 36,96,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,96,801) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(36,96,801) x common factors =3 x 36 = 108
LCM(36,96,801) = ( 36 × 96 × 801 ) / 108
LCM(36,96,801) = 2768256 / 108
LCM(36,96,801) = 25632
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 72/36, 14/96, 929/801?
Answer: GCF of Numerators as per given numbers 72/36, 14/96, 929/801 is
GCF of Numerators i.e. for 72,14,929 is 1
LCM of denominators i.e. for 36,96,801 is 25632.
Thus, GCF of Fractions is 1/25632.Finally, GCF of Fractions for 72/36, 14/96, 929/801 is 1/25632.