Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/52,92/39,31/93,994/12
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 82,92,31,994
Greatest Common Factor of Numerators i.e. GCF of 82,92,31,994 is 1 .
LCM of Denominators means LCM of 52,39,93,12 as per the given fractions.
LCM of 52,39,93,12 is 4836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,92,31,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 82,92,31,994 . The biggest common factor number is the GCF number.
So the greatest common factor 82,92,31,994 is 1.
Lets's calculate LCM of 52,39,93,12
2 | 52, 39, 93, 12 |
2 | 26, 39, 93, 6 |
3 | 13, 39, 93, 3 |
13 | 13, 13, 31, 1 |
1, 1, 31, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 1 x 31 x 1 = 4836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4836
Therefore, the GCF of Fractions 82/52,92/39,31/93,994/12 is 1/4836
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 52,39,93,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,39,93,12) = 1
common factors(in case of two or more numbers have common factors) = 468
GCF(52,39,93,12) x common factors =1 x 468 = 468
LCM(52,39,93,12) = ( 52 × 39 × 93 × 12 ) / 468
LCM(52,39,93,12) = 2263248 / 468
LCM(52,39,93,12) = 4836
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 82/52, 92/39, 31/93, 994/12?
Answer: GCF of Numerators as per given numbers 82/52, 92/39, 31/93, 994/12 is
GCF of Numerators i.e. for 82,92,31,994 is 1
LCM of denominators i.e. for 52,39,93,12 is 4836.
Thus, GCF of Fractions is 1/4836.Finally, GCF of Fractions for 82/52, 92/39, 31/93, 994/12 is 1/4836.