Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8859/36,2595/662
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 8859,2595
Greatest Common Factor of Numerators i.e. GCF of 8859,2595 is 3 .
LCM of Denominators means LCM of 36,662 as per the given fractions.
LCM of 36,662 is 11916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8859,2595
3 | 8859, 2595 |
2953, 865 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8859
List of positive integer factors of 8859 that divides 8859 without a remainder.
1,3,2953,8859
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 8859,2595 . The biggest common factor number is the GCF number.
So the greatest common factor 8859,2595 is 3.
Lets's calculate LCM of 36,662
2 | 36, 662 |
18, 331 |
∴ So the LCM of the given numbers is 2 x 18 x 331 = 11916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11916
Therefore, the GCF of Fractions 8859/36,2595/662 is 3/11916
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 36,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,662) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,662) x common factors =2 x 1 = 2
LCM(36,662) = ( 36 × 662 ) / 2
LCM(36,662) = 23832 / 2
LCM(36,662) = 11916
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 8859/36, 2595/662?
Answer: GCF of Numerators as per given numbers 8859/36, 2595/662 is
GCF of Numerators i.e. for 8859,2595 is 3
LCM of denominators i.e. for 36,662 is 11916.
Thus, GCF of Fractions is 3/11916.Finally, GCF of Fractions for 8859/36, 2595/662 is 3/11916.