Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 593/55,284/75,512/789
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 593,284,512
Greatest Common Factor of Numerators i.e. GCF of 593,284,512 is 1 .
LCM of Denominators means LCM of 55,75,789 as per the given fractions.
LCM of 55,75,789 is 216975 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 593,284,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 593,284,512 . The biggest common factor number is the GCF number.
So the greatest common factor 593,284,512 is 1.
Lets's calculate LCM of 55,75,789
3 | 55, 75, 789 |
5 | 55, 25, 263 |
11, 5, 263 |
∴ So the LCM of the given numbers is 3 x 5 x 11 x 5 x 263 = 216975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216975
Therefore, the GCF of Fractions 593/55,284/75,512/789 is 1/216975
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 55,75,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,75,789) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(55,75,789) x common factors =1 x 15 = 15
LCM(55,75,789) = ( 55 × 75 × 789 ) / 15
LCM(55,75,789) = 3254625 / 15
LCM(55,75,789) = 216975
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 593/55, 284/75, 512/789?
Answer: GCF of Numerators as per given numbers 593/55, 284/75, 512/789 is
GCF of Numerators i.e. for 593,284,512 is 1
LCM of denominators i.e. for 55,75,789 is 216975.
Thus, GCF of Fractions is 1/216975.Finally, GCF of Fractions for 593/55, 284/75, 512/789 is 1/216975.