Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/83,40/27,718/616
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 58,40,718
Greatest Common Factor of Numerators i.e. GCF of 58,40,718 is 2 .
LCM of Denominators means LCM of 83,27,616 as per the given fractions.
LCM of 83,27,616 is 1380456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,40,718
2 | 58, 40, 718 |
29, 20, 359 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
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 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Greatest Common Factor
We found the factors 58,40,718 . The biggest common factor number is the GCF number.
So the greatest common factor 58,40,718 is 2.
Lets's calculate LCM of 83,27,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 1380456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1380456
Therefore, the GCF of Fractions 58/83,40/27,718/616 is 2/1380456
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 83,27,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,27,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,27,616) x common factors =1 x 1 = 1
LCM(83,27,616) = ( 83 × 27 × 616 ) / 1
LCM(83,27,616) = 1380456 / 1
LCM(83,27,616) = 1380456
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 58/83, 40/27, 718/616?
Answer: GCF of Numerators as per given numbers 58/83, 40/27, 718/616 is
GCF of Numerators i.e. for 58,40,718 is 2
LCM of denominators i.e. for 83,27,616 is 1380456.
Thus, GCF of Fractions is 2/1380456.Finally, GCF of Fractions for 58/83, 40/27, 718/616 is 2/1380456.