Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/16,80/91,519/817
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 10,80,519
Greatest Common Factor of Numerators i.e. GCF of 10,80,519 is 1 .
LCM of Denominators means LCM of 16,91,817 as per the given fractions.
LCM of 16,91,817 is 1189552 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 10,80,519
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Greatest Common Factor
We found the factors 10,80,519 . The biggest common factor number is the GCF number.
So the greatest common factor 10,80,519 is 1.
Lets's calculate LCM of 16,91,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 1189552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1189552
Therefore, the GCF of Fractions 10/16,80/91,519/817 is 1/1189552
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 16,91,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,91,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,91,817) x common factors =1 x 1 = 1
LCM(16,91,817) = ( 16 × 91 × 817 ) / 1
LCM(16,91,817) = 1189552 / 1
LCM(16,91,817) = 1189552
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 10/16, 80/91, 519/817?
Answer: GCF of Numerators as per given numbers 10/16, 80/91, 519/817 is
GCF of Numerators i.e. for 10,80,519 is 1
LCM of denominators i.e. for 16,91,817 is 1189552.
Thus, GCF of Fractions is 1/1189552.Finally, GCF of Fractions for 10/16, 80/91, 519/817 is 1/1189552.