Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/30,82/58,68/704,591/148
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 5,82,68,591
Greatest Common Factor of Numerators i.e. GCF of 5,82,68,591 is 1 .
LCM of Denominators means LCM of 30,58,704,148 as per the given fractions.
LCM of 30,58,704,148 is 11330880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,82,68,591
∴ 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 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 5,82,68,591 . The biggest common factor number is the GCF number.
So the greatest common factor 5,82,68,591 is 1.
Lets's calculate LCM of 30,58,704,148
2 | 30, 58, 704, 148 |
2 | 15, 29, 352, 74 |
15, 29, 176, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 15 x 29 x 176 x 37 = 11330880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11330880
Therefore, the GCF of Fractions 5/30,82/58,68/704,591/148 is 1/11330880
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 30,58,704,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,58,704,148) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(30,58,704,148) x common factors =2 x 8 = 16
LCM(30,58,704,148) = ( 30 × 58 × 704 × 148 ) / 16
LCM(30,58,704,148) = 181294080 / 16
LCM(30,58,704,148) = 11330880
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 5/30, 82/58, 68/704, 591/148?
Answer: GCF of Numerators as per given numbers 5/30, 82/58, 68/704, 591/148 is
GCF of Numerators i.e. for 5,82,68,591 is 1
LCM of denominators i.e. for 30,58,704,148 is 11330880.
Thus, GCF of Fractions is 1/11330880.Finally, GCF of Fractions for 5/30, 82/58, 68/704, 591/148 is 1/11330880.