Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8943/349,6163/8891
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 8943,6163
Greatest Common Factor of Numerators i.e. GCF of 8943,6163 is 1 .
LCM of Denominators means LCM of 349,8891 as per the given fractions.
LCM of 349,8891 is 3102959 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8943,6163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8943
List of positive integer factors of 8943 that divides 8943 without a remainder.
1,3,11,33,271,813,2981,8943
Factors of 6163
List of positive integer factors of 6163 that divides 6163 without a remainder.
1,6163
Greatest Common Factor
We found the factors 8943,6163 . The biggest common factor number is the GCF number.
So the greatest common factor 8943,6163 is 1.
Lets's calculate LCM of 349,8891
Given numbers has no common factors except 1. So, there LCM is their product i.e 3102959
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3102959
Therefore, the GCF of Fractions 8943/349,6163/8891 is 1/3102959
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 349,8891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,8891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,8891) x common factors =1 x 1 = 1
LCM(349,8891) = ( 349 × 8891 ) / 1
LCM(349,8891) = 3102959 / 1
LCM(349,8891) = 3102959
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 8943/349, 6163/8891?
Answer: GCF of Numerators as per given numbers 8943/349, 6163/8891 is
GCF of Numerators i.e. for 8943,6163 is 1
LCM of denominators i.e. for 349,8891 is 3102959.
Thus, GCF of Fractions is 1/3102959.Finally, GCF of Fractions for 8943/349, 6163/8891 is 1/3102959.