Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1886/67,8581/613
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 1886,8581
Greatest Common Factor of Numerators i.e. GCF of 1886,8581 is 1 .
LCM of Denominators means LCM of 67,613 as per the given fractions.
LCM of 67,613 is 41071 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1886,8581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1886
List of positive integer factors of 1886 that divides 1886 without a remainder.
1,2,23,41,46,82,943,1886
Factors of 8581
List of positive integer factors of 8581 that divides 8581 without a remainder.
1,8581
Greatest Common Factor
We found the factors 1886,8581 . The biggest common factor number is the GCF number.
So the greatest common factor 1886,8581 is 1.
Lets's calculate LCM of 67,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 41071
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41071
Therefore, the GCF of Fractions 1886/67,8581/613 is 1/41071
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 67,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,613) x common factors =1 x 1 = 1
LCM(67,613) = ( 67 × 613 ) / 1
LCM(67,613) = 41071 / 1
LCM(67,613) = 41071
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 1886/67, 8581/613?
Answer: GCF of Numerators as per given numbers 1886/67, 8581/613 is
GCF of Numerators i.e. for 1886,8581 is 1
LCM of denominators i.e. for 67,613 is 41071.
Thus, GCF of Fractions is 1/41071.Finally, GCF of Fractions for 1886/67, 8581/613 is 1/41071.