Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1968/61,8943/289
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 1968,8943
Greatest Common Factor of Numerators i.e. GCF of 1968,8943 is 3 .
LCM of Denominators means LCM of 61,289 as per the given fractions.
LCM of 61,289 is 17629 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1968,8943
3 | 1968, 8943 |
656, 2981 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1968
List of positive integer factors of 1968 that divides 1968 without a remainder.
1,2,3,4,6,8,12,16,24,41,48,82,123,164,246,328,492,656,984,1968
Factors of 8943
List of positive integer factors of 8943 that divides 8943 without a remainder.
1,3,11,33,271,813,2981,8943
Greatest Common Factor
We found the factors 1968,8943 . The biggest common factor number is the GCF number.
So the greatest common factor 1968,8943 is 3.
Lets's calculate LCM of 61,289
Given numbers has no common factors except 1. So, there LCM is their product i.e 17629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17629
Therefore, the GCF of Fractions 1968/61,8943/289 is 3/17629
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 61,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,289) x common factors =1 x 1 = 1
LCM(61,289) = ( 61 × 289 ) / 1
LCM(61,289) = 17629 / 1
LCM(61,289) = 17629
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 1968/61, 8943/289?
Answer: GCF of Numerators as per given numbers 1968/61, 8943/289 is
GCF of Numerators i.e. for 1968,8943 is 3
LCM of denominators i.e. for 61,289 is 17629.
Thus, GCF of Fractions is 3/17629.Finally, GCF of Fractions for 1968/61, 8943/289 is 3/17629.