Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/104,589/948,300/188
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 530,589,300
Greatest Common Factor of Numerators i.e. GCF of 530,589,300 is 1 .
LCM of Denominators means LCM of 104,948,188 as per the given fractions.
LCM of 104,948,188 is 1158456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,589,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 530,589,300 . The biggest common factor number is the GCF number.
So the greatest common factor 530,589,300 is 1.
Lets's calculate LCM of 104,948,188
2 | 104, 948, 188 |
2 | 52, 474, 94 |
26, 237, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 26 x 237 x 47 = 1158456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1158456
Therefore, the GCF of Fractions 530/104,589/948,300/188 is 1/1158456
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 104,948,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,948,188) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(104,948,188) x common factors =4 x 4 = 16
LCM(104,948,188) = ( 104 × 948 × 188 ) / 16
LCM(104,948,188) = 18535296 / 16
LCM(104,948,188) = 1158456
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 530/104, 589/948, 300/188?
Answer: GCF of Numerators as per given numbers 530/104, 589/948, 300/188 is
GCF of Numerators i.e. for 530,589,300 is 1
LCM of denominators i.e. for 104,948,188 is 1158456.
Thus, GCF of Fractions is 1/1158456.Finally, GCF of Fractions for 530/104, 589/948, 300/188 is 1/1158456.