Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/55,4022/598
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 311,4022
Greatest Common Factor of Numerators i.e. GCF of 311,4022 is 1 .
LCM of Denominators means LCM of 55,598 as per the given fractions.
LCM of 55,598 is 32890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 311,4022
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1,2,2011,4022
Greatest Common Factor
We found the factors 311,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 311,4022 is 1.
Lets's calculate LCM of 55,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 32890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32890
Therefore, the GCF of Fractions 311/55,4022/598 is 1/32890
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 55,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,598) x common factors =1 x 1 = 1
LCM(55,598) = ( 55 × 598 ) / 1
LCM(55,598) = 32890 / 1
LCM(55,598) = 32890
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 311/55, 4022/598?
Answer: GCF of Numerators as per given numbers 311/55, 4022/598 is
GCF of Numerators i.e. for 311,4022 is 1
LCM of denominators i.e. for 55,598 is 32890.
Thus, GCF of Fractions is 1/32890.Finally, GCF of Fractions for 311/55, 4022/598 is 1/32890.