Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 331/57,572/44,500/793
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 331,572,500
Greatest Common Factor of Numerators i.e. GCF of 331,572,500 is 1 .
LCM of Denominators means LCM of 57,44,793 as per the given fractions.
LCM of 57,44,793 is 1988844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 331,572,500
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 331,572,500 . The biggest common factor number is the GCF number.
So the greatest common factor 331,572,500 is 1.
Lets's calculate LCM of 57,44,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 1988844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1988844
Therefore, the GCF of Fractions 331/57,572/44,500/793 is 1/1988844
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 57,44,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,44,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,44,793) x common factors =1 x 1 = 1
LCM(57,44,793) = ( 57 × 44 × 793 ) / 1
LCM(57,44,793) = 1988844 / 1
LCM(57,44,793) = 1988844
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 331/57, 572/44, 500/793?
Answer: GCF of Numerators as per given numbers 331/57, 572/44, 500/793 is
GCF of Numerators i.e. for 331,572,500 is 1
LCM of denominators i.e. for 57,44,793 is 1988844.
Thus, GCF of Fractions is 1/1988844.Finally, GCF of Fractions for 331/57, 572/44, 500/793 is 1/1988844.