Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/43,63/481,418/555
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 94,63,418
Greatest Common Factor of Numerators i.e. GCF of 94,63,418 is 1 .
LCM of Denominators means LCM of 43,481,555 as per the given fractions.
LCM of 43,481,555 is 310245 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,63,418
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 94,63,418 . The biggest common factor number is the GCF number.
So the greatest common factor 94,63,418 is 1.
Lets's calculate LCM of 43,481,555
37 | 43, 481, 555 |
43, 13, 15 |
∴ So the LCM of the given numbers is 37 x 43 x 13 x 15 = 310245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310245
Therefore, the GCF of Fractions 94/43,63/481,418/555 is 1/310245
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 43,481,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,481,555) = 1
common factors(in case of two or more numbers have common factors) = 37
GCF(43,481,555) x common factors =1 x 37 = 37
LCM(43,481,555) = ( 43 × 481 × 555 ) / 37
LCM(43,481,555) = 11479065 / 37
LCM(43,481,555) = 310245
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 94/43, 63/481, 418/555?
Answer: GCF of Numerators as per given numbers 94/43, 63/481, 418/555 is
GCF of Numerators i.e. for 94,63,418 is 1
LCM of denominators i.e. for 43,481,555 is 310245.
Thus, GCF of Fractions is 1/310245.Finally, GCF of Fractions for 94/43, 63/481, 418/555 is 1/310245.