Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8684/214,5641/4033
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 8684,5641
Greatest Common Factor of Numerators i.e. GCF of 8684,5641 is 1 .
LCM of Denominators means LCM of 214,4033 as per the given fractions.
LCM of 214,4033 is 863062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8684,5641
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8684
List of positive integer factors of 8684 that divides 8684 without a remainder.
1,2,4,13,26,52,167,334,668,2171,4342,8684
Factors of 5641
List of positive integer factors of 5641 that divides 5641 without a remainder.
1,5641
Greatest Common Factor
We found the factors 8684,5641 . The biggest common factor number is the GCF number.
So the greatest common factor 8684,5641 is 1.
Lets's calculate LCM of 214,4033
Given numbers has no common factors except 1. So, there LCM is their product i.e 863062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/863062
Therefore, the GCF of Fractions 8684/214,5641/4033 is 1/863062
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 214,4033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,4033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,4033) x common factors =1 x 1 = 1
LCM(214,4033) = ( 214 × 4033 ) / 1
LCM(214,4033) = 863062 / 1
LCM(214,4033) = 863062
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 8684/214, 5641/4033?
Answer: GCF of Numerators as per given numbers 8684/214, 5641/4033 is
GCF of Numerators i.e. for 8684,5641 is 1
LCM of denominators i.e. for 214,4033 is 863062.
Thus, GCF of Fractions is 1/863062.Finally, GCF of Fractions for 8684/214, 5641/4033 is 1/863062.