Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/183,253/748,300/530
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 582,253,300
Greatest Common Factor of Numerators i.e. GCF of 582,253,300 is 1 .
LCM of Denominators means LCM of 183,748,530 as per the given fractions.
LCM of 183,748,530 is 36274260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 582,253,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
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 582,253,300 . The biggest common factor number is the GCF number.
So the greatest common factor 582,253,300 is 1.
Lets's calculate LCM of 183,748,530
2 | 183, 748, 530 |
183, 374, 265 |
∴ So the LCM of the given numbers is 2 x 183 x 374 x 265 = 36274260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36274260
Therefore, the GCF of Fractions 582/183,253/748,300/530 is 1/36274260
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 183,748,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,748,530) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(183,748,530) x common factors =1 x 2 = 2
LCM(183,748,530) = ( 183 × 748 × 530 ) / 2
LCM(183,748,530) = 72548520 / 2
LCM(183,748,530) = 36274260
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 582/183, 253/748, 300/530?
Answer: GCF of Numerators as per given numbers 582/183, 253/748, 300/530 is
GCF of Numerators i.e. for 582,253,300 is 1
LCM of denominators i.e. for 183,748,530 is 36274260.
Thus, GCF of Fractions is 1/36274260.Finally, GCF of Fractions for 582/183, 253/748, 300/530 is 1/36274260.