Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/64,872/96,580/39
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 5,872,580
Greatest Common Factor of Numerators i.e. GCF of 5,872,580 is 1 .
LCM of Denominators means LCM of 64,96,39 as per the given fractions.
LCM of 64,96,39 is 2496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,872,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 5,872,580 . The biggest common factor number is the GCF number.
So the greatest common factor 5,872,580 is 1.
Lets's calculate LCM of 64,96,39
2 | 64, 96, 39 |
2 | 32, 48, 39 |
2 | 16, 24, 39 |
2 | 8, 12, 39 |
2 | 4, 6, 39 |
3 | 2, 3, 39 |
2, 1, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 2 x 1 x 13 = 2496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2496
Therefore, the GCF of Fractions 5/64,872/96,580/39 is 1/2496
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 64,96,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,96,39) = 1
common factors(in case of two or more numbers have common factors) = 96
GCF(64,96,39) x common factors =1 x 96 = 96
LCM(64,96,39) = ( 64 × 96 × 39 ) / 96
LCM(64,96,39) = 239616 / 96
LCM(64,96,39) = 2496
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 5/64, 872/96, 580/39?
Answer: GCF of Numerators as per given numbers 5/64, 872/96, 580/39 is
GCF of Numerators i.e. for 5,872,580 is 1
LCM of denominators i.e. for 64,96,39 is 2496.
Thus, GCF of Fractions is 1/2496.Finally, GCF of Fractions for 5/64, 872/96, 580/39 is 1/2496.