Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/12,47/96,75/512,201/515
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 1,47,75,201
Greatest Common Factor of Numerators i.e. GCF of 1,47,75,201 is 1 .
LCM of Denominators means LCM of 12,96,512,515 as per the given fractions.
LCM of 12,96,512,515 is 791040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,47,75,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 1,47,75,201 . The biggest common factor number is the GCF number.
So the greatest common factor 1,47,75,201 is 1.
Lets's calculate LCM of 12,96,512,515
2 | 12, 96, 512, 515 |
2 | 6, 48, 256, 515 |
2 | 3, 24, 128, 515 |
2 | 3, 12, 64, 515 |
2 | 3, 6, 32, 515 |
3 | 3, 3, 16, 515 |
1, 1, 16, 515 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 1 x 16 x 515 = 791040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791040
Therefore, the GCF of Fractions 1/12,47/96,75/512,201/515 is 1/791040
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 12,96,512,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,96,512,515) = 1
common factors(in case of two or more numbers have common factors) = 384
GCF(12,96,512,515) x common factors =1 x 384 = 384
LCM(12,96,512,515) = ( 12 × 96 × 512 × 515 ) / 384
LCM(12,96,512,515) = 303759360 / 384
LCM(12,96,512,515) = 791040
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 1/12, 47/96, 75/512, 201/515?
Answer: GCF of Numerators as per given numbers 1/12, 47/96, 75/512, 201/515 is
GCF of Numerators i.e. for 1,47,75,201 is 1
LCM of denominators i.e. for 12,96,512,515 is 791040.
Thus, GCF of Fractions is 1/791040.Finally, GCF of Fractions for 1/12, 47/96, 75/512, 201/515 is 1/791040.