Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/551,9443/593
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 665,9443
Greatest Common Factor of Numerators i.e. GCF of 665,9443 is 133 .
LCM of Denominators means LCM of 551,593 as per the given fractions.
LCM of 551,593 is 326743 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 665,9443
7 | 665, 9443 |
19 | 95, 1349 |
5, 71 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 9443
List of positive integer factors of 9443 that divides 9443 without a remainder.
1,7,19,71,133,497,1349,9443
Greatest Common Factor
We found the factors 665,9443 . The biggest common factor number is the GCF number.
So the greatest common factor 665,9443 is 133.
Lets's calculate LCM of 551,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 326743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/326743
Therefore, the GCF of Fractions 665/551,9443/593 is 133/326743
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 551,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,593) x common factors =1 x 1 = 1
LCM(551,593) = ( 551 × 593 ) / 1
LCM(551,593) = 326743 / 1
LCM(551,593) = 326743
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 665/551, 9443/593?
Answer: GCF of Numerators as per given numbers 665/551, 9443/593 is
GCF of Numerators i.e. for 665,9443 is 133
LCM of denominators i.e. for 551,593 is 326743.
Thus, GCF of Fractions is 133/326743.Finally, GCF of Fractions for 665/551, 9443/593 is 133/326743.