Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 332/60,138/37,263/730
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 332,138,263
Greatest Common Factor of Numerators i.e. GCF of 332,138,263 is 1 .
LCM of Denominators means LCM of 60,37,730 as per the given fractions.
LCM of 60,37,730 is 162060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 332,138,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Greatest Common Factor
We found the factors 332,138,263 . The biggest common factor number is the GCF number.
So the greatest common factor 332,138,263 is 1.
Lets's calculate LCM of 60,37,730
2 | 60, 37, 730 |
5 | 30, 37, 365 |
6, 37, 73 |
∴ So the LCM of the given numbers is 2 x 5 x 6 x 37 x 73 = 162060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162060
Therefore, the GCF of Fractions 332/60,138/37,263/730 is 1/162060
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 60,37,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,37,730) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(60,37,730) x common factors =1 x 10 = 10
LCM(60,37,730) = ( 60 × 37 × 730 ) / 10
LCM(60,37,730) = 1620600 / 10
LCM(60,37,730) = 162060
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 332/60, 138/37, 263/730?
Answer: GCF of Numerators as per given numbers 332/60, 138/37, 263/730 is
GCF of Numerators i.e. for 332,138,263 is 1
LCM of denominators i.e. for 60,37,730 is 162060.
Thus, GCF of Fractions is 1/162060.Finally, GCF of Fractions for 332/60, 138/37, 263/730 is 1/162060.