Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 42/17,10/31,481/223
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 42,10,481
Greatest Common Factor of Numerators i.e. GCF of 42,10,481 is 1 .
LCM of Denominators means LCM of 17,31,223 as per the given fractions.
LCM of 17,31,223 is 117521 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 42,10,481
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Greatest Common Factor
We found the factors 42,10,481 . The biggest common factor number is the GCF number.
So the greatest common factor 42,10,481 is 1.
Lets's calculate LCM of 17,31,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 117521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117521
Therefore, the GCF of Fractions 42/17,10/31,481/223 is 1/117521
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 17,31,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,31,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,31,223) x common factors =1 x 1 = 1
LCM(17,31,223) = ( 17 × 31 × 223 ) / 1
LCM(17,31,223) = 117521 / 1
LCM(17,31,223) = 117521
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 42/17, 10/31, 481/223?
Answer: GCF of Numerators as per given numbers 42/17, 10/31, 481/223 is
GCF of Numerators i.e. for 42,10,481 is 1
LCM of denominators i.e. for 17,31,223 is 117521.
Thus, GCF of Fractions is 1/117521.Finally, GCF of Fractions for 42/17, 10/31, 481/223 is 1/117521.