Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/21,581/73,917/71
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 481,581,917
Greatest Common Factor of Numerators i.e. GCF of 481,581,917 is 1 .
LCM of Denominators means LCM of 21,73,71 as per the given fractions.
LCM of 21,73,71 is 108843 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,581,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 481,581,917 . The biggest common factor number is the GCF number.
So the greatest common factor 481,581,917 is 1.
Lets's calculate LCM of 21,73,71
Given numbers has no common factors except 1. So, there LCM is their product i.e 108843
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108843
Therefore, the GCF of Fractions 481/21,581/73,917/71 is 1/108843
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 21,73,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,73,71) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,73,71) x common factors =1 x 1 = 1
LCM(21,73,71) = ( 21 × 73 × 71 ) / 1
LCM(21,73,71) = 108843 / 1
LCM(21,73,71) = 108843
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 481/21, 581/73, 917/71?
Answer: GCF of Numerators as per given numbers 481/21, 581/73, 917/71 is
GCF of Numerators i.e. for 481,581,917 is 1
LCM of denominators i.e. for 21,73,71 is 108843.
Thus, GCF of Fractions is 1/108843.Finally, GCF of Fractions for 481/21, 581/73, 917/71 is 1/108843.