Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6602/238,1244/2217
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 6602,1244
Greatest Common Factor of Numerators i.e. GCF of 6602,1244 is 2 .
LCM of Denominators means LCM of 238,2217 as per the given fractions.
LCM of 238,2217 is 527646 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6602,1244
2 | 6602, 1244 |
3301, 622 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6602
List of positive integer factors of 6602 that divides 6602 without a remainder.
1,2,3301,6602
Factors of 1244
List of positive integer factors of 1244 that divides 1244 without a remainder.
1,2,4,311,622,1244
Greatest Common Factor
We found the factors 6602,1244 . The biggest common factor number is the GCF number.
So the greatest common factor 6602,1244 is 2.
Lets's calculate LCM of 238,2217
Given numbers has no common factors except 1. So, there LCM is their product i.e 527646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/527646
Therefore, the GCF of Fractions 6602/238,1244/2217 is 2/527646
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 238,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,2217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(238,2217) x common factors =1 x 1 = 1
LCM(238,2217) = ( 238 × 2217 ) / 1
LCM(238,2217) = 527646 / 1
LCM(238,2217) = 527646
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 6602/238, 1244/2217?
Answer: GCF of Numerators as per given numbers 6602/238, 1244/2217 is
GCF of Numerators i.e. for 6602,1244 is 2
LCM of denominators i.e. for 238,2217 is 527646.
Thus, GCF of Fractions is 2/527646.Finally, GCF of Fractions for 6602/238, 1244/2217 is 2/527646.