Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/615,7468/217
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 442,7468
Greatest Common Factor of Numerators i.e. GCF of 442,7468 is 2 .
LCM of Denominators means LCM of 615,217 as per the given fractions.
LCM of 615,217 is 133455 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 442,7468
2 | 442, 7468 |
221, 3734 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 7468
List of positive integer factors of 7468 that divides 7468 without a remainder.
1,2,4,1867,3734,7468
Greatest Common Factor
We found the factors 442,7468 . The biggest common factor number is the GCF number.
So the greatest common factor 442,7468 is 2.
Lets's calculate LCM of 615,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 133455
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133455
Therefore, the GCF of Fractions 442/615,7468/217 is 2/133455
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 615,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(615,217) x common factors =1 x 1 = 1
LCM(615,217) = ( 615 × 217 ) / 1
LCM(615,217) = 133455 / 1
LCM(615,217) = 133455
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 442/615, 7468/217?
Answer: GCF of Numerators as per given numbers 442/615, 7468/217 is
GCF of Numerators i.e. for 442,7468 is 2
LCM of denominators i.e. for 615,217 is 133455.
Thus, GCF of Fractions is 2/133455.Finally, GCF of Fractions for 442/615, 7468/217 is 2/133455.