Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8366/50,4333/699
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 8366,4333
Greatest Common Factor of Numerators i.e. GCF of 8366,4333 is 1 .
LCM of Denominators means LCM of 50,699 as per the given fractions.
LCM of 50,699 is 34950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8366,4333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8366
List of positive integer factors of 8366 that divides 8366 without a remainder.
1,2,47,89,94,178,4183,8366
Factors of 4333
List of positive integer factors of 4333 that divides 4333 without a remainder.
1,7,619,4333
Greatest Common Factor
We found the factors 8366,4333 . The biggest common factor number is the GCF number.
So the greatest common factor 8366,4333 is 1.
Lets's calculate LCM of 50,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 34950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34950
Therefore, the GCF of Fractions 8366/50,4333/699 is 1/34950
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 50,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,699) x common factors =1 x 1 = 1
LCM(50,699) = ( 50 × 699 ) / 1
LCM(50,699) = 34950 / 1
LCM(50,699) = 34950
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 8366/50, 4333/699?
Answer: GCF of Numerators as per given numbers 8366/50, 4333/699 is
GCF of Numerators i.e. for 8366,4333 is 1
LCM of denominators i.e. for 50,699 is 34950.
Thus, GCF of Fractions is 1/34950.Finally, GCF of Fractions for 8366/50, 4333/699 is 1/34950.