Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/842,443/104
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 591,443
Greatest Common Factor of Numerators i.e. GCF of 591,443 is 1 .
LCM of Denominators means LCM of 842,104 as per the given fractions.
LCM of 842,104 is 43784 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 591,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 591,443 . The biggest common factor number is the GCF number.
So the greatest common factor 591,443 is 1.
Lets's calculate LCM of 842,104
2 | 842, 104 |
421, 52 |
∴ So the LCM of the given numbers is 2 x 421 x 52 = 43784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43784
Therefore, the GCF of Fractions 591/842,443/104 is 1/43784
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 842,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,104) x common factors =2 x 1 = 2
LCM(842,104) = ( 842 × 104 ) / 2
LCM(842,104) = 87568 / 2
LCM(842,104) = 43784
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 591/842, 443/104?
Answer: GCF of Numerators as per given numbers 591/842, 443/104 is
GCF of Numerators i.e. for 591,443 is 1
LCM of denominators i.e. for 842,104 is 43784.
Thus, GCF of Fractions is 1/43784.Finally, GCF of Fractions for 591/842, 443/104 is 1/43784.