Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 334/74,935/20,267/686
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 334,935,267
Greatest Common Factor of Numerators i.e. GCF of 334,935,267 is 1 .
LCM of Denominators means LCM of 74,20,686 as per the given fractions.
LCM of 74,20,686 is 253820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 334,935,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 334,935,267 . The biggest common factor number is the GCF number.
So the greatest common factor 334,935,267 is 1.
Lets's calculate LCM of 74,20,686
2 | 74, 20, 686 |
37, 10, 343 |
∴ So the LCM of the given numbers is 2 x 37 x 10 x 343 = 253820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/253820
Therefore, the GCF of Fractions 334/74,935/20,267/686 is 1/253820
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 74,20,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,20,686) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,20,686) x common factors =2 x 2 = 4
LCM(74,20,686) = ( 74 × 20 × 686 ) / 4
LCM(74,20,686) = 1015280 / 4
LCM(74,20,686) = 253820
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 334/74, 935/20, 267/686?
Answer: GCF of Numerators as per given numbers 334/74, 935/20, 267/686 is
GCF of Numerators i.e. for 334,935,267 is 1
LCM of denominators i.e. for 74,20,686 is 253820.
Thus, GCF of Fractions is 1/253820.Finally, GCF of Fractions for 334/74, 935/20, 267/686 is 1/253820.