Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/399,8415/1367
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 10,8415
Greatest Common Factor of Numerators i.e. GCF of 10,8415 is 5 .
LCM of Denominators means LCM of 399,1367 as per the given fractions.
LCM of 399,1367 is 545433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,8415
5 | 10, 8415 |
2, 1683 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 8415
List of positive integer factors of 8415 that divides 8415 without a remainder.
1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415
Greatest Common Factor
We found the factors 10,8415 . The biggest common factor number is the GCF number.
So the greatest common factor 10,8415 is 5.
Lets's calculate LCM of 399,1367
Given numbers has no common factors except 1. So, there LCM is their product i.e 545433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/545433
Therefore, the GCF of Fractions 10/399,8415/1367 is 5/545433
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 399,1367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,1367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,1367) x common factors =1 x 1 = 1
LCM(399,1367) = ( 399 × 1367 ) / 1
LCM(399,1367) = 545433 / 1
LCM(399,1367) = 545433
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 10/399, 8415/1367?
Answer: GCF of Numerators as per given numbers 10/399, 8415/1367 is
GCF of Numerators i.e. for 10,8415 is 5
LCM of denominators i.e. for 399,1367 is 545433.
Thus, GCF of Fractions is 5/545433.Finally, GCF of Fractions for 10/399, 8415/1367 is 5/545433.