Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/47,26/30,517/449
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 73,26,517
Greatest Common Factor of Numerators i.e. GCF of 73,26,517 is 1 .
LCM of Denominators means LCM of 47,30,449 as per the given fractions.
LCM of 47,30,449 is 633090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,26,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 73,26,517 . The biggest common factor number is the GCF number.
So the greatest common factor 73,26,517 is 1.
Lets's calculate LCM of 47,30,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 633090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633090
Therefore, the GCF of Fractions 73/47,26/30,517/449 is 1/633090
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 47,30,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,30,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,30,449) x common factors =1 x 1 = 1
LCM(47,30,449) = ( 47 × 30 × 449 ) / 1
LCM(47,30,449) = 633090 / 1
LCM(47,30,449) = 633090
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 73/47, 26/30, 517/449?
Answer: GCF of Numerators as per given numbers 73/47, 26/30, 517/449 is
GCF of Numerators i.e. for 73,26,517 is 1
LCM of denominators i.e. for 47,30,449 is 633090.
Thus, GCF of Fractions is 1/633090.Finally, GCF of Fractions for 73/47, 26/30, 517/449 is 1/633090.