Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 47/31,43/22,335/430
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 47,43,335
Greatest Common Factor of Numerators i.e. GCF of 47,43,335 is 1 .
LCM of Denominators means LCM of 31,22,430 as per the given fractions.
LCM of 31,22,430 is 146630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 47,43,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 47,43,335 . The biggest common factor number is the GCF number.
So the greatest common factor 47,43,335 is 1.
Lets's calculate LCM of 31,22,430
2 | 31, 22, 430 |
31, 11, 215 |
∴ So the LCM of the given numbers is 2 x 31 x 11 x 215 = 146630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146630
Therefore, the GCF of Fractions 47/31,43/22,335/430 is 1/146630
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 31,22,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,22,430) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(31,22,430) x common factors =1 x 2 = 2
LCM(31,22,430) = ( 31 × 22 × 430 ) / 2
LCM(31,22,430) = 293260 / 2
LCM(31,22,430) = 146630
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 47/31, 43/22, 335/430?
Answer: GCF of Numerators as per given numbers 47/31, 43/22, 335/430 is
GCF of Numerators i.e. for 47,43,335 is 1
LCM of denominators i.e. for 31,22,430 is 146630.
Thus, GCF of Fractions is 1/146630.Finally, GCF of Fractions for 47/31, 43/22, 335/430 is 1/146630.