Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/20,158/34,220/867
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 582,158,220
Greatest Common Factor of Numerators i.e. GCF of 582,158,220 is 2 .
LCM of Denominators means LCM of 20,34,867 as per the given fractions.
LCM of 20,34,867 is 17340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 582,158,220
2 | 582, 158, 220 |
291, 79, 110 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 582,158,220 . The biggest common factor number is the GCF number.
So the greatest common factor 582,158,220 is 2.
Lets's calculate LCM of 20,34,867
2 | 20, 34, 867 |
17 | 10, 17, 867 |
10, 1, 51 |
∴ So the LCM of the given numbers is 2 x 17 x 10 x 1 x 51 = 17340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17340
Therefore, the GCF of Fractions 582/20,158/34,220/867 is 2/17340
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 20,34,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,34,867) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(20,34,867) x common factors =1 x 34 = 34
LCM(20,34,867) = ( 20 × 34 × 867 ) / 34
LCM(20,34,867) = 589560 / 34
LCM(20,34,867) = 17340
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 582/20, 158/34, 220/867?
Answer: GCF of Numerators as per given numbers 582/20, 158/34, 220/867 is
GCF of Numerators i.e. for 582,158,220 is 2
LCM of denominators i.e. for 20,34,867 is 17340.
Thus, GCF of Fractions is 2/17340.Finally, GCF of Fractions for 582/20, 158/34, 220/867 is 2/17340.