Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4483/60,7695/706
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 4483,7695
Greatest Common Factor of Numerators i.e. GCF of 4483,7695 is 1 .
LCM of Denominators means LCM of 60,706 as per the given fractions.
LCM of 60,706 is 21180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4483,7695
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4483
List of positive integer factors of 4483 that divides 4483 without a remainder.
1,4483
Factors of 7695
List of positive integer factors of 7695 that divides 7695 without a remainder.
1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695
Greatest Common Factor
We found the factors 4483,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 4483,7695 is 1.
Lets's calculate LCM of 60,706
2 | 60, 706 |
30, 353 |
∴ So the LCM of the given numbers is 2 x 30 x 353 = 21180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21180
Therefore, the GCF of Fractions 4483/60,7695/706 is 1/21180
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 60,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(60,706) x common factors =2 x 1 = 2
LCM(60,706) = ( 60 × 706 ) / 2
LCM(60,706) = 42360 / 2
LCM(60,706) = 21180
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 4483/60, 7695/706?
Answer: GCF of Numerators as per given numbers 4483/60, 7695/706 is
GCF of Numerators i.e. for 4483,7695 is 1
LCM of denominators i.e. for 60,706 is 21180.
Thus, GCF of Fractions is 1/21180.Finally, GCF of Fractions for 4483/60, 7695/706 is 1/21180.