Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2442/485,2223/7645
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 2442,2223
Greatest Common Factor of Numerators i.e. GCF of 2442,2223 is 3 .
LCM of Denominators means LCM of 485,7645 as per the given fractions.
LCM of 485,7645 is 741565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2442,2223
3 | 2442, 2223 |
814, 741 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2442
List of positive integer factors of 2442 that divides 2442 without a remainder.
1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442
Factors of 2223
List of positive integer factors of 2223 that divides 2223 without a remainder.
1,3,9,13,19,39,57,117,171,247,741,2223
Greatest Common Factor
We found the factors 2442,2223 . The biggest common factor number is the GCF number.
So the greatest common factor 2442,2223 is 3.
Lets's calculate LCM of 485,7645
5 | 485, 7645 |
97, 1529 |
∴ So the LCM of the given numbers is 5 x 97 x 1529 = 741565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/741565
Therefore, the GCF of Fractions 2442/485,2223/7645 is 3/741565
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 485,7645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,7645) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(485,7645) x common factors =5 x 1 = 5
LCM(485,7645) = ( 485 × 7645 ) / 5
LCM(485,7645) = 3707825 / 5
LCM(485,7645) = 741565
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 2442/485, 2223/7645?
Answer: GCF of Numerators as per given numbers 2442/485, 2223/7645 is
GCF of Numerators i.e. for 2442,2223 is 3
LCM of denominators i.e. for 485,7645 is 741565.
Thus, GCF of Fractions is 3/741565.Finally, GCF of Fractions for 2442/485, 2223/7645 is 3/741565.