Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9336/80,4471/659
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 9336,4471
Greatest Common Factor of Numerators i.e. GCF of 9336,4471 is 1 .
LCM of Denominators means LCM of 80,659 as per the given fractions.
LCM of 80,659 is 52720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9336,4471
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9336
List of positive integer factors of 9336 that divides 9336 without a remainder.
1,2,3,4,6,8,12,24,389,778,1167,1556,2334,3112,4668,9336
Factors of 4471
List of positive integer factors of 4471 that divides 4471 without a remainder.
1,17,263,4471
Greatest Common Factor
We found the factors 9336,4471 . The biggest common factor number is the GCF number.
So the greatest common factor 9336,4471 is 1.
Lets's calculate LCM of 80,659
Given numbers has no common factors except 1. So, there LCM is their product i.e 52720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52720
Therefore, the GCF of Fractions 9336/80,4471/659 is 1/52720
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 80,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,659) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,659) x common factors =1 x 1 = 1
LCM(80,659) = ( 80 × 659 ) / 1
LCM(80,659) = 52720 / 1
LCM(80,659) = 52720
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 9336/80, 4471/659?
Answer: GCF of Numerators as per given numbers 9336/80, 4471/659 is
GCF of Numerators i.e. for 9336,4471 is 1
LCM of denominators i.e. for 80,659 is 52720.
Thus, GCF of Fractions is 1/52720.Finally, GCF of Fractions for 9336/80, 4471/659 is 1/52720.