Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/86,315/48,316/468
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 52,315,316
Greatest Common Factor of Numerators i.e. GCF of 52,315,316 is 1 .
LCM of Denominators means LCM of 86,48,468 as per the given fractions.
LCM of 86,48,468 is 80496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,315,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
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
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 52,315,316 . The biggest common factor number is the GCF number.
So the greatest common factor 52,315,316 is 1.
Lets's calculate LCM of 86,48,468
2 | 86, 48, 468 |
2 | 43, 24, 234 |
3 | 43, 12, 117 |
43, 4, 39 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 4 x 39 = 80496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80496
Therefore, the GCF of Fractions 52/86,315/48,316/468 is 1/80496
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 86,48,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,48,468) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(86,48,468) x common factors =2 x 12 = 24
LCM(86,48,468) = ( 86 × 48 × 468 ) / 24
LCM(86,48,468) = 1931904 / 24
LCM(86,48,468) = 80496
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 52/86, 315/48, 316/468?
Answer: GCF of Numerators as per given numbers 52/86, 315/48, 316/468 is
GCF of Numerators i.e. for 52,315,316 is 1
LCM of denominators i.e. for 86,48,468 is 80496.
Thus, GCF of Fractions is 1/80496.Finally, GCF of Fractions for 52/86, 315/48, 316/468 is 1/80496.