Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 229/9376,827/2065
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 229,827
Greatest Common Factor of Numerators i.e. GCF of 229,827 is 1 .
LCM of Denominators means LCM of 9376,2065 as per the given fractions.
LCM of 9376,2065 is 19361440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 229,827
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Greatest Common Factor
We found the factors 229,827 . The biggest common factor number is the GCF number.
So the greatest common factor 229,827 is 1.
Lets's calculate LCM of 9376,2065
Given numbers has no common factors except 1. So, there LCM is their product i.e 19361440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19361440
Therefore, the GCF of Fractions 229/9376,827/2065 is 1/19361440
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 9376,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9376,2065) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9376,2065) x common factors =1 x 1 = 1
LCM(9376,2065) = ( 9376 × 2065 ) / 1
LCM(9376,2065) = 19361440 / 1
LCM(9376,2065) = 19361440
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 229/9376, 827/2065?
Answer: GCF of Numerators as per given numbers 229/9376, 827/2065 is
GCF of Numerators i.e. for 229,827 is 1
LCM of denominators i.e. for 9376,2065 is 19361440.
Thus, GCF of Fractions is 1/19361440.Finally, GCF of Fractions for 229/9376, 827/2065 is 1/19361440.