Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 809/71,493/61,780/66
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 809,493,780
Greatest Common Factor of Numerators i.e. GCF of 809,493,780 is 1 .
LCM of Denominators means LCM of 71,61,66 as per the given fractions.
LCM of 71,61,66 is 285846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 809,493,780
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 809,493,780 . The biggest common factor number is the GCF number.
So the greatest common factor 809,493,780 is 1.
Lets's calculate LCM of 71,61,66
Given numbers has no common factors except 1. So, there LCM is their product i.e 285846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285846
Therefore, the GCF of Fractions 809/71,493/61,780/66 is 1/285846
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 71,61,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,61,66) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,61,66) x common factors =1 x 1 = 1
LCM(71,61,66) = ( 71 × 61 × 66 ) / 1
LCM(71,61,66) = 285846 / 1
LCM(71,61,66) = 285846
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 809/71, 493/61, 780/66?
Answer: GCF of Numerators as per given numbers 809/71, 493/61, 780/66 is
GCF of Numerators i.e. for 809,493,780 is 1
LCM of denominators i.e. for 71,61,66 is 285846.
Thus, GCF of Fractions is 1/285846.Finally, GCF of Fractions for 809/71, 493/61, 780/66 is 1/285846.