Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/47,63/334,582/286
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 92,63,582
Greatest Common Factor of Numerators i.e. GCF of 92,63,582 is 1 .
LCM of Denominators means LCM of 47,334,286 as per the given fractions.
LCM of 47,334,286 is 2244814 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,63,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 92,63,582 . The biggest common factor number is the GCF number.
So the greatest common factor 92,63,582 is 1.
Lets's calculate LCM of 47,334,286
2 | 47, 334, 286 |
47, 167, 143 |
∴ So the LCM of the given numbers is 2 x 47 x 167 x 143 = 2244814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2244814
Therefore, the GCF of Fractions 92/47,63/334,582/286 is 1/2244814
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 47,334,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,334,286) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(47,334,286) x common factors =1 x 2 = 2
LCM(47,334,286) = ( 47 × 334 × 286 ) / 2
LCM(47,334,286) = 4489628 / 2
LCM(47,334,286) = 2244814
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 92/47, 63/334, 582/286?
Answer: GCF of Numerators as per given numbers 92/47, 63/334, 582/286 is
GCF of Numerators i.e. for 92,63,582 is 1
LCM of denominators i.e. for 47,334,286 is 2244814.
Thus, GCF of Fractions is 1/2244814.Finally, GCF of Fractions for 92/47, 63/334, 582/286 is 1/2244814.