Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/71,290/64,463/581
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 793,290,463
Greatest Common Factor of Numerators i.e. GCF of 793,290,463 is 1 .
LCM of Denominators means LCM of 71,64,581 as per the given fractions.
LCM of 71,64,581 is 2640064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 793,290,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 793,290,463 . The biggest common factor number is the GCF number.
So the greatest common factor 793,290,463 is 1.
Lets's calculate LCM of 71,64,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 2640064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2640064
Therefore, the GCF of Fractions 793/71,290/64,463/581 is 1/2640064
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 71,64,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,64,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,64,581) x common factors =1 x 1 = 1
LCM(71,64,581) = ( 71 × 64 × 581 ) / 1
LCM(71,64,581) = 2640064 / 1
LCM(71,64,581) = 2640064
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 793/71, 290/64, 463/581?
Answer: GCF of Numerators as per given numbers 793/71, 290/64, 463/581 is
GCF of Numerators i.e. for 793,290,463 is 1
LCM of denominators i.e. for 71,64,581 is 2640064.
Thus, GCF of Fractions is 1/2640064.Finally, GCF of Fractions for 793/71, 290/64, 463/581 is 1/2640064.