Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6931/144,2595/1996
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 6931,2595
Greatest Common Factor of Numerators i.e. GCF of 6931,2595 is 1 .
LCM of Denominators means LCM of 144,1996 as per the given fractions.
LCM of 144,1996 is 71856 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6931,2595
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6931
List of positive integer factors of 6931 that divides 6931 without a remainder.
1,29,239,6931
Factors of 2595
List of positive integer factors of 2595 that divides 2595 without a remainder.
1,3,5,15,173,519,865,2595
Greatest Common Factor
We found the factors 6931,2595 . The biggest common factor number is the GCF number.
So the greatest common factor 6931,2595 is 1.
Lets's calculate LCM of 144,1996
2 | 144, 1996 |
2 | 72, 998 |
36, 499 |
∴ So the LCM of the given numbers is 2 x 2 x 36 x 499 = 71856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71856
Therefore, the GCF of Fractions 6931/144,2595/1996 is 1/71856
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 144,1996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,1996) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(144,1996) x common factors =4 x 1 = 4
LCM(144,1996) = ( 144 × 1996 ) / 4
LCM(144,1996) = 287424 / 4
LCM(144,1996) = 71856
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 6931/144, 2595/1996?
Answer: GCF of Numerators as per given numbers 6931/144, 2595/1996 is
GCF of Numerators i.e. for 6931,2595 is 1
LCM of denominators i.e. for 144,1996 is 71856.
Thus, GCF of Fractions is 1/71856.Finally, GCF of Fractions for 6931/144, 2595/1996 is 1/71856.