Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/728,947/468,415/214
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 61,947,415
Greatest Common Factor of Numerators i.e. GCF of 61,947,415 is 1 .
LCM of Denominators means LCM of 728,468,214 as per the given fractions.
LCM of 728,468,214 is 701064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,947,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 61,947,415 . The biggest common factor number is the GCF number.
So the greatest common factor 61,947,415 is 1.
Lets's calculate LCM of 728,468,214
2 | 728, 468, 214 |
2 | 364, 234, 107 |
13 | 182, 117, 107 |
14, 9, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 14 x 9 x 107 = 701064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/701064
Therefore, the GCF of Fractions 61/728,947/468,415/214 is 1/701064
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 728,468,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,468,214) = 2
common factors(in case of two or more numbers have common factors) = 52
GCF(728,468,214) x common factors =2 x 52 = 104
LCM(728,468,214) = ( 728 × 468 × 214 ) / 104
LCM(728,468,214) = 72910656 / 104
LCM(728,468,214) = 701064
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 61/728, 947/468, 415/214?
Answer: GCF of Numerators as per given numbers 61/728, 947/468, 415/214 is
GCF of Numerators i.e. for 61,947,415 is 1
LCM of denominators i.e. for 728,468,214 is 701064.
Thus, GCF of Fractions is 1/701064.Finally, GCF of Fractions for 61/728, 947/468, 415/214 is 1/701064.