Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8803/894,7163/832
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 8803,7163
Greatest Common Factor of Numerators i.e. GCF of 8803,7163 is 1 .
LCM of Denominators means LCM of 894,832 as per the given fractions.
LCM of 894,832 is 371904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8803,7163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8803
List of positive integer factors of 8803 that divides 8803 without a remainder.
1,8803
Factors of 7163
List of positive integer factors of 7163 that divides 7163 without a remainder.
1,13,19,29,247,377,551,7163
Greatest Common Factor
We found the factors 8803,7163 . The biggest common factor number is the GCF number.
So the greatest common factor 8803,7163 is 1.
Lets's calculate LCM of 894,832
2 | 894, 832 |
447, 416 |
∴ So the LCM of the given numbers is 2 x 447 x 416 = 371904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371904
Therefore, the GCF of Fractions 8803/894,7163/832 is 1/371904
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 894,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,832) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,832) x common factors =2 x 1 = 2
LCM(894,832) = ( 894 × 832 ) / 2
LCM(894,832) = 743808 / 2
LCM(894,832) = 371904
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 8803/894, 7163/832?
Answer: GCF of Numerators as per given numbers 8803/894, 7163/832 is
GCF of Numerators i.e. for 8803,7163 is 1
LCM of denominators i.e. for 894,832 is 371904.
Thus, GCF of Fractions is 1/371904.Finally, GCF of Fractions for 8803/894, 7163/832 is 1/371904.