Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 488/38,582/53,529/91
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 488,582,529
Greatest Common Factor of Numerators i.e. GCF of 488,582,529 is 1 .
LCM of Denominators means LCM of 38,53,91 as per the given fractions.
LCM of 38,53,91 is 183274 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 488,582,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
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 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 488,582,529 . The biggest common factor number is the GCF number.
So the greatest common factor 488,582,529 is 1.
Lets's calculate LCM of 38,53,91
Given numbers has no common factors except 1. So, there LCM is their product i.e 183274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183274
Therefore, the GCF of Fractions 488/38,582/53,529/91 is 1/183274
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 38,53,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,53,91) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,53,91) x common factors =1 x 1 = 1
LCM(38,53,91) = ( 38 × 53 × 91 ) / 1
LCM(38,53,91) = 183274 / 1
LCM(38,53,91) = 183274
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 488/38, 582/53, 529/91?
Answer: GCF of Numerators as per given numbers 488/38, 582/53, 529/91 is
GCF of Numerators i.e. for 488,582,529 is 1
LCM of denominators i.e. for 38,53,91 is 183274.
Thus, GCF of Fractions is 1/183274.Finally, GCF of Fractions for 488/38, 582/53, 529/91 is 1/183274.