Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 325/3091,884/8581
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 325,884
Greatest Common Factor of Numerators i.e. GCF of 325,884 is 13 .
LCM of Denominators means LCM of 3091,8581 as per the given fractions.
LCM of 3091,8581 is 26523871 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 325,884
13 | 325, 884 |
25, 68 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 325,884 . The biggest common factor number is the GCF number.
So the greatest common factor 325,884 is 13.
Lets's calculate LCM of 3091,8581
Given numbers has no common factors except 1. So, there LCM is their product i.e 26523871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/26523871
Therefore, the GCF of Fractions 325/3091,884/8581 is 13/26523871
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 3091,8581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3091,8581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3091,8581) x common factors =1 x 1 = 1
LCM(3091,8581) = ( 3091 × 8581 ) / 1
LCM(3091,8581) = 26523871 / 1
LCM(3091,8581) = 26523871
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 325/3091, 884/8581?
Answer: GCF of Numerators as per given numbers 325/3091, 884/8581 is
GCF of Numerators i.e. for 325,884 is 13
LCM of denominators i.e. for 3091,8581 is 26523871.
Thus, GCF of Fractions is 13/26523871.Finally, GCF of Fractions for 325/3091, 884/8581 is 13/26523871.