Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 935/137,5227/984
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 935,5227
Greatest Common Factor of Numerators i.e. GCF of 935,5227 is 1 .
LCM of Denominators means LCM of 137,984 as per the given fractions.
LCM of 137,984 is 134808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 935,5227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 5227
List of positive integer factors of 5227 that divides 5227 without a remainder.
1,5227
Greatest Common Factor
We found the factors 935,5227 . The biggest common factor number is the GCF number.
So the greatest common factor 935,5227 is 1.
Lets's calculate LCM of 137,984
Given numbers has no common factors except 1. So, there LCM is their product i.e 134808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134808
Therefore, the GCF of Fractions 935/137,5227/984 is 1/134808
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 137,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,984) x common factors =1 x 1 = 1
LCM(137,984) = ( 137 × 984 ) / 1
LCM(137,984) = 134808 / 1
LCM(137,984) = 134808
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 935/137, 5227/984?
Answer: GCF of Numerators as per given numbers 935/137, 5227/984 is
GCF of Numerators i.e. for 935,5227 is 1
LCM of denominators i.e. for 137,984 is 134808.
Thus, GCF of Fractions is 1/134808.Finally, GCF of Fractions for 935/137, 5227/984 is 1/134808.