Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/34,303/32,720/422
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 610,303,720
Greatest Common Factor of Numerators i.e. GCF of 610,303,720 is 1 .
LCM of Denominators means LCM of 34,32,422 as per the given fractions.
LCM of 34,32,422 is 114784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 610,303,720
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 610,303,720 . The biggest common factor number is the GCF number.
So the greatest common factor 610,303,720 is 1.
Lets's calculate LCM of 34,32,422
2 | 34, 32, 422 |
17, 16, 211 |
∴ So the LCM of the given numbers is 2 x 17 x 16 x 211 = 114784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114784
Therefore, the GCF of Fractions 610/34,303/32,720/422 is 1/114784
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 34,32,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,32,422) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(34,32,422) x common factors =2 x 2 = 4
LCM(34,32,422) = ( 34 × 32 × 422 ) / 4
LCM(34,32,422) = 459136 / 4
LCM(34,32,422) = 114784
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 610/34, 303/32, 720/422?
Answer: GCF of Numerators as per given numbers 610/34, 303/32, 720/422 is
GCF of Numerators i.e. for 610,303,720 is 1
LCM of denominators i.e. for 34,32,422 is 114784.
Thus, GCF of Fractions is 1/114784.Finally, GCF of Fractions for 610/34, 303/32, 720/422 is 1/114784.