Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2181/26,3165/377
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 2181,3165
Greatest Common Factor of Numerators i.e. GCF of 2181,3165 is 3 .
LCM of Denominators means LCM of 26,377 as per the given fractions.
LCM of 26,377 is 754 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2181,3165
3 | 2181, 3165 |
727, 1055 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 2181
List of positive integer factors of 2181 that divides 2181 without a remainder.
1,3,727,2181
Factors of 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1,3,5,15,211,633,1055,3165
Greatest Common Factor
We found the factors 2181,3165 . The biggest common factor number is the GCF number.
So the greatest common factor 2181,3165 is 3.
Lets's calculate LCM of 26,377
13 | 26, 377 |
2, 29 |
∴ So the LCM of the given numbers is 13 x 2 x 29 = 754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/754
Therefore, the GCF of Fractions 2181/26,3165/377 is 3/754
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 26,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,377) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(26,377) x common factors =13 x 1 = 13
LCM(26,377) = ( 26 × 377 ) / 13
LCM(26,377) = 9802 / 13
LCM(26,377) = 754
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 2181/26, 3165/377?
Answer: GCF of Numerators as per given numbers 2181/26, 3165/377 is
GCF of Numerators i.e. for 2181,3165 is 3
LCM of denominators i.e. for 26,377 is 754.
Thus, GCF of Fractions is 3/754.Finally, GCF of Fractions for 2181/26, 3165/377 is 3/754.