Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/9912,315/2268
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 496,315
Greatest Common Factor of Numerators i.e. GCF of 496,315 is 1 .
LCM of Denominators means LCM of 9912,2268 as per the given fractions.
LCM of 9912,2268 is 267624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 496,315 . The biggest common factor number is the GCF number.
So the greatest common factor 496,315 is 1.
Lets's calculate LCM of 9912,2268
2 | 9912, 2268 |
2 | 4956, 1134 |
3 | 2478, 567 |
7 | 826, 189 |
118, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 118 x 27 = 267624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267624
Therefore, the GCF of Fractions 496/9912,315/2268 is 1/267624
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 9912,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9912,2268) = 84
common factors(in case of two or more numbers have common factors) = 1
GCF(9912,2268) x common factors =84 x 1 = 84
LCM(9912,2268) = ( 9912 × 2268 ) / 84
LCM(9912,2268) = 22480416 / 84
LCM(9912,2268) = 267624
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 496/9912, 315/2268?
Answer: GCF of Numerators as per given numbers 496/9912, 315/2268 is
GCF of Numerators i.e. for 496,315 is 1
LCM of denominators i.e. for 9912,2268 is 267624.
Thus, GCF of Fractions is 1/267624.Finally, GCF of Fractions for 496/9912, 315/2268 is 1/267624.