Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/474,80/998,130/612
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 95,80,130
Greatest Common Factor of Numerators i.e. GCF of 95,80,130 is 5 .
LCM of Denominators means LCM of 474,998,612 as per the given fractions.
LCM of 474,998,612 is 24125652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,80,130
5 | 95, 80, 130 |
19, 16, 26 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 95,80,130 . The biggest common factor number is the GCF number.
So the greatest common factor 95,80,130 is 5.
Lets's calculate LCM of 474,998,612
2 | 474, 998, 612 |
3 | 237, 499, 306 |
79, 499, 102 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 499 x 102 = 24125652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/24125652
Therefore, the GCF of Fractions 95/474,80/998,130/612 is 5/24125652
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 474,998,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,998,612) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(474,998,612) x common factors =2 x 6 = 12
LCM(474,998,612) = ( 474 × 998 × 612 ) / 12
LCM(474,998,612) = 289507824 / 12
LCM(474,998,612) = 24125652
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 95/474, 80/998, 130/612?
Answer: GCF of Numerators as per given numbers 95/474, 80/998, 130/612 is
GCF of Numerators i.e. for 95,80,130 is 5
LCM of denominators i.e. for 474,998,612 is 24125652.
Thus, GCF of Fractions is 5/24125652.Finally, GCF of Fractions for 95/474, 80/998, 130/612 is 5/24125652.