Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3811/84,1296/136
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 3811,1296
Greatest Common Factor of Numerators i.e. GCF of 3811,1296 is 1 .
LCM of Denominators means LCM of 84,136 as per the given fractions.
LCM of 84,136 is 2856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3811,1296
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1,37,103,3811
Factors of 1296
List of positive integer factors of 1296 that divides 1296 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296
Greatest Common Factor
We found the factors 3811,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 3811,1296 is 1.
Lets's calculate LCM of 84,136
2 | 84, 136 |
2 | 42, 68 |
21, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 34 = 2856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2856
Therefore, the GCF of Fractions 3811/84,1296/136 is 1/2856
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 84,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,136) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(84,136) x common factors =4 x 1 = 4
LCM(84,136) = ( 84 × 136 ) / 4
LCM(84,136) = 11424 / 4
LCM(84,136) = 2856
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 3811/84, 1296/136?
Answer: GCF of Numerators as per given numbers 3811/84, 1296/136 is
GCF of Numerators i.e. for 3811,1296 is 1
LCM of denominators i.e. for 84,136 is 2856.
Thus, GCF of Fractions is 1/2856.Finally, GCF of Fractions for 3811/84, 1296/136 is 1/2856.