Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1309/32,6941/775
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 1309,6941
Greatest Common Factor of Numerators i.e. GCF of 1309,6941 is 11 .
LCM of Denominators means LCM of 32,775 as per the given fractions.
LCM of 32,775 is 24800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1309,6941
11 | 1309, 6941 |
119, 631 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 1309
List of positive integer factors of 1309 that divides 1309 without a remainder.
1,7,11,17,77,119,187,1309
Factors of 6941
List of positive integer factors of 6941 that divides 6941 without a remainder.
1,11,631,6941
Greatest Common Factor
We found the factors 1309,6941 . The biggest common factor number is the GCF number.
So the greatest common factor 1309,6941 is 11.
Lets's calculate LCM of 32,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 24800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/24800
Therefore, the GCF of Fractions 1309/32,6941/775 is 11/24800
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 32,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,775) x common factors =1 x 1 = 1
LCM(32,775) = ( 32 × 775 ) / 1
LCM(32,775) = 24800 / 1
LCM(32,775) = 24800
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 1309/32, 6941/775?
Answer: GCF of Numerators as per given numbers 1309/32, 6941/775 is
GCF of Numerators i.e. for 1309,6941 is 11
LCM of denominators i.e. for 32,775 is 24800.
Thus, GCF of Fractions is 11/24800.Finally, GCF of Fractions for 1309/32, 6941/775 is 11/24800.