Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 750/728,223/517,446/376
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 750,223,446
Greatest Common Factor of Numerators i.e. GCF of 750,223,446 is 1 .
LCM of Denominators means LCM of 728,517,376 as per the given fractions.
LCM of 728,517,376 is 376376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 750,223,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 750,223,446 . The biggest common factor number is the GCF number.
So the greatest common factor 750,223,446 is 1.
Lets's calculate LCM of 728,517,376
2 | 728, 517, 376 |
2 | 364, 517, 188 |
2 | 182, 517, 94 |
47 | 91, 517, 47 |
91, 11, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 91 x 11 x 1 = 376376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376376
Therefore, the GCF of Fractions 750/728,223/517,446/376 is 1/376376
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 728,517,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,517,376) = 1
common factors(in case of two or more numbers have common factors) = 376
GCF(728,517,376) x common factors =1 x 376 = 376
LCM(728,517,376) = ( 728 × 517 × 376 ) / 376
LCM(728,517,376) = 141517376 / 376
LCM(728,517,376) = 376376
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 750/728, 223/517, 446/376?
Answer: GCF of Numerators as per given numbers 750/728, 223/517, 446/376 is
GCF of Numerators i.e. for 750,223,446 is 1
LCM of denominators i.e. for 728,517,376 is 376376.
Thus, GCF of Fractions is 1/376376.Finally, GCF of Fractions for 750/728, 223/517, 446/376 is 1/376376.