Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3805/140,9586/955
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 3805,9586
Greatest Common Factor of Numerators i.e. GCF of 3805,9586 is 1 .
LCM of Denominators means LCM of 140,955 as per the given fractions.
LCM of 140,955 is 26740 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3805,9586
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1,5,761,3805
Factors of 9586
List of positive integer factors of 9586 that divides 9586 without a remainder.
1,2,4793,9586
Greatest Common Factor
We found the factors 3805,9586 . The biggest common factor number is the GCF number.
So the greatest common factor 3805,9586 is 1.
Lets's calculate LCM of 140,955
5 | 140, 955 |
28, 191 |
∴ So the LCM of the given numbers is 5 x 28 x 191 = 26740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26740
Therefore, the GCF of Fractions 3805/140,9586/955 is 1/26740
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 140,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,955) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(140,955) x common factors =5 x 1 = 5
LCM(140,955) = ( 140 × 955 ) / 5
LCM(140,955) = 133700 / 5
LCM(140,955) = 26740
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 3805/140, 9586/955?
Answer: GCF of Numerators as per given numbers 3805/140, 9586/955 is
GCF of Numerators i.e. for 3805,9586 is 1
LCM of denominators i.e. for 140,955 is 26740.
Thus, GCF of Fractions is 1/26740.Finally, GCF of Fractions for 3805/140, 9586/955 is 1/26740.