Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 578/73,313/32,962/227
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 578,313,962
Greatest Common Factor of Numerators i.e. GCF of 578,313,962 is 1 .
LCM of Denominators means LCM of 73,32,227 as per the given fractions.
LCM of 73,32,227 is 530272 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 578,313,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 578,313,962 . The biggest common factor number is the GCF number.
So the greatest common factor 578,313,962 is 1.
Lets's calculate LCM of 73,32,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 530272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530272
Therefore, the GCF of Fractions 578/73,313/32,962/227 is 1/530272
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 73,32,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,32,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,32,227) x common factors =1 x 1 = 1
LCM(73,32,227) = ( 73 × 32 × 227 ) / 1
LCM(73,32,227) = 530272 / 1
LCM(73,32,227) = 530272
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 578/73, 313/32, 962/227?
Answer: GCF of Numerators as per given numbers 578/73, 313/32, 962/227 is
GCF of Numerators i.e. for 578,313,962 is 1
LCM of denominators i.e. for 73,32,227 is 530272.
Thus, GCF of Fractions is 1/530272.Finally, GCF of Fractions for 578/73, 313/32, 962/227 is 1/530272.