Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1241/424,9008/2482
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 1241,9008
Greatest Common Factor of Numerators i.e. GCF of 1241,9008 is 1 .
LCM of Denominators means LCM of 424,2482 as per the given fractions.
LCM of 424,2482 is 526184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1241,9008
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1241
List of positive integer factors of 1241 that divides 1241 without a remainder.
1,17,73,1241
Factors of 9008
List of positive integer factors of 9008 that divides 9008 without a remainder.
1,2,4,8,16,563,1126,2252,4504,9008
Greatest Common Factor
We found the factors 1241,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 1241,9008 is 1.
Lets's calculate LCM of 424,2482
2 | 424, 2482 |
212, 1241 |
∴ So the LCM of the given numbers is 2 x 212 x 1241 = 526184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526184
Therefore, the GCF of Fractions 1241/424,9008/2482 is 1/526184
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 424,2482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,2482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,2482) x common factors =2 x 1 = 2
LCM(424,2482) = ( 424 × 2482 ) / 2
LCM(424,2482) = 1052368 / 2
LCM(424,2482) = 526184
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 1241/424, 9008/2482?
Answer: GCF of Numerators as per given numbers 1241/424, 9008/2482 is
GCF of Numerators i.e. for 1241,9008 is 1
LCM of denominators i.e. for 424,2482 is 526184.
Thus, GCF of Fractions is 1/526184.Finally, GCF of Fractions for 1241/424, 9008/2482 is 1/526184.