Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/58,17/73,366/647
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 40,17,366
Greatest Common Factor of Numerators i.e. GCF of 40,17,366 is 1 .
LCM of Denominators means LCM of 58,73,647 as per the given fractions.
LCM of 58,73,647 is 2739398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,17,366
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 40,17,366 . The biggest common factor number is the GCF number.
So the greatest common factor 40,17,366 is 1.
Lets's calculate LCM of 58,73,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 2739398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2739398
Therefore, the GCF of Fractions 40/58,17/73,366/647 is 1/2739398
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 58,73,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,73,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,73,647) x common factors =1 x 1 = 1
LCM(58,73,647) = ( 58 × 73 × 647 ) / 1
LCM(58,73,647) = 2739398 / 1
LCM(58,73,647) = 2739398
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 40/58, 17/73, 366/647?
Answer: GCF of Numerators as per given numbers 40/58, 17/73, 366/647 is
GCF of Numerators i.e. for 40,17,366 is 1
LCM of denominators i.e. for 58,73,647 is 2739398.
Thus, GCF of Fractions is 1/2739398.Finally, GCF of Fractions for 40/58, 17/73, 366/647 is 1/2739398.