Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4443/135,2258/8289
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 4443,2258
Greatest Common Factor of Numerators i.e. GCF of 4443,2258 is 1 .
LCM of Denominators means LCM of 135,8289 as per the given fractions.
LCM of 135,8289 is 41445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4443,2258
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4443
List of positive integer factors of 4443 that divides 4443 without a remainder.
1,3,1481,4443
Factors of 2258
List of positive integer factors of 2258 that divides 2258 without a remainder.
1,2,1129,2258
Greatest Common Factor
We found the factors 4443,2258 . The biggest common factor number is the GCF number.
So the greatest common factor 4443,2258 is 1.
Lets's calculate LCM of 135,8289
3 | 135, 8289 |
3 | 45, 2763 |
3 | 15, 921 |
5, 307 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 307 = 41445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41445
Therefore, the GCF of Fractions 4443/135,2258/8289 is 1/41445
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 135,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,8289) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(135,8289) x common factors =27 x 1 = 27
LCM(135,8289) = ( 135 × 8289 ) / 27
LCM(135,8289) = 1119015 / 27
LCM(135,8289) = 41445
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 4443/135, 2258/8289?
Answer: GCF of Numerators as per given numbers 4443/135, 2258/8289 is
GCF of Numerators i.e. for 4443,2258 is 1
LCM of denominators i.e. for 135,8289 is 41445.
Thus, GCF of Fractions is 1/41445.Finally, GCF of Fractions for 4443/135, 2258/8289 is 1/41445.