Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/675,533/230,984/181
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 58,533,984
Greatest Common Factor of Numerators i.e. GCF of 58,533,984 is 1 .
LCM of Denominators means LCM of 675,230,181 as per the given fractions.
LCM of 675,230,181 is 5620050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,533,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 58,533,984 . The biggest common factor number is the GCF number.
So the greatest common factor 58,533,984 is 1.
Lets's calculate LCM of 675,230,181
5 | 675, 230, 181 |
135, 46, 181 |
∴ So the LCM of the given numbers is 5 x 135 x 46 x 181 = 5620050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5620050
Therefore, the GCF of Fractions 58/675,533/230,984/181 is 1/5620050
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 675,230,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,230,181) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(675,230,181) x common factors =1 x 5 = 5
LCM(675,230,181) = ( 675 × 230 × 181 ) / 5
LCM(675,230,181) = 28100250 / 5
LCM(675,230,181) = 5620050
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 58/675, 533/230, 984/181?
Answer: GCF of Numerators as per given numbers 58/675, 533/230, 984/181 is
GCF of Numerators i.e. for 58,533,984 is 1
LCM of denominators i.e. for 675,230,181 is 5620050.
Thus, GCF of Fractions is 1/5620050.Finally, GCF of Fractions for 58/675, 533/230, 984/181 is 1/5620050.