Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 15/597,40/235,910/161
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 15,40,910
Greatest Common Factor of Numerators i.e. GCF of 15,40,910 is 5 .
LCM of Denominators means LCM of 597,235,161 as per the given fractions.
LCM of 597,235,161 is 22587495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 15,40,910
5 | 15, 40, 910 |
3, 8, 182 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 15,40,910 . The biggest common factor number is the GCF number.
So the greatest common factor 15,40,910 is 5.
Lets's calculate LCM of 597,235,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 22587495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/22587495
Therefore, the GCF of Fractions 15/597,40/235,910/161 is 5/22587495
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 597,235,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,235,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,235,161) x common factors =1 x 1 = 1
LCM(597,235,161) = ( 597 × 235 × 161 ) / 1
LCM(597,235,161) = 22587495 / 1
LCM(597,235,161) = 22587495
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 15/597, 40/235, 910/161?
Answer: GCF of Numerators as per given numbers 15/597, 40/235, 910/161 is
GCF of Numerators i.e. for 15,40,910 is 5
LCM of denominators i.e. for 597,235,161 is 22587495.
Thus, GCF of Fractions is 5/22587495.Finally, GCF of Fractions for 15/597, 40/235, 910/161 is 5/22587495.