Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 885/960,8443/545
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 885,8443
Greatest Common Factor of Numerators i.e. GCF of 885,8443 is 1 .
LCM of Denominators means LCM of 960,545 as per the given fractions.
LCM of 960,545 is 104640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 885,8443
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 8443
List of positive integer factors of 8443 that divides 8443 without a remainder.
1,8443
Greatest Common Factor
We found the factors 885,8443 . The biggest common factor number is the GCF number.
So the greatest common factor 885,8443 is 1.
Lets's calculate LCM of 960,545
5 | 960, 545 |
192, 109 |
∴ So the LCM of the given numbers is 5 x 192 x 109 = 104640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104640
Therefore, the GCF of Fractions 885/960,8443/545 is 1/104640
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 960,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,545) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(960,545) x common factors =5 x 1 = 5
LCM(960,545) = ( 960 × 545 ) / 5
LCM(960,545) = 523200 / 5
LCM(960,545) = 104640
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 885/960, 8443/545?
Answer: GCF of Numerators as per given numbers 885/960, 8443/545 is
GCF of Numerators i.e. for 885,8443 is 1
LCM of denominators i.e. for 960,545 is 104640.
Thus, GCF of Fractions is 1/104640.Finally, GCF of Fractions for 885/960, 8443/545 is 1/104640.