Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/72,96/21,612/525
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 48,96,612
Greatest Common Factor of Numerators i.e. GCF of 48,96,612 is 12 .
LCM of Denominators means LCM of 72,21,525 as per the given fractions.
LCM of 72,21,525 is 12600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 48,96,612
2 | 48, 96, 612 |
2 | 24, 48, 306 |
3 | 12, 24, 153 |
4, 8, 51 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 48,96,612 . The biggest common factor number is the GCF number.
So the greatest common factor 48,96,612 is 12.
Lets's calculate LCM of 72,21,525
3 | 72, 21, 525 |
7 | 24, 7, 175 |
24, 1, 25 |
∴ So the LCM of the given numbers is 3 x 7 x 24 x 1 x 25 = 12600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12600
Therefore, the GCF of Fractions 48/72,96/21,612/525 is 12/12600
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 72,21,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,21,525) = 3
common factors(in case of two or more numbers have common factors) = 21
GCF(72,21,525) x common factors =3 x 21 = 63
LCM(72,21,525) = ( 72 × 21 × 525 ) / 63
LCM(72,21,525) = 793800 / 63
LCM(72,21,525) = 12600
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 48/72, 96/21, 612/525?
Answer: GCF of Numerators as per given numbers 48/72, 96/21, 612/525 is
GCF of Numerators i.e. for 48,96,612 is 12
LCM of denominators i.e. for 72,21,525 is 12600.
Thus, GCF of Fractions is 12/12600.Finally, GCF of Fractions for 48/72, 96/21, 612/525 is 12/12600.