Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 842/4113,593/4171
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 842,593
Greatest Common Factor of Numerators i.e. GCF of 842,593 is 1 .
LCM of Denominators means LCM of 4113,4171 as per the given fractions.
LCM of 4113,4171 is 17155323 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 842,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 842,593 . The biggest common factor number is the GCF number.
So the greatest common factor 842,593 is 1.
Lets's calculate LCM of 4113,4171
Given numbers has no common factors except 1. So, there LCM is their product i.e 17155323
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17155323
Therefore, the GCF of Fractions 842/4113,593/4171 is 1/17155323
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 4113,4171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4113,4171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4113,4171) x common factors =1 x 1 = 1
LCM(4113,4171) = ( 4113 × 4171 ) / 1
LCM(4113,4171) = 17155323 / 1
LCM(4113,4171) = 17155323
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 842/4113, 593/4171?
Answer: GCF of Numerators as per given numbers 842/4113, 593/4171 is
GCF of Numerators i.e. for 842,593 is 1
LCM of denominators i.e. for 4113,4171 is 17155323.
Thus, GCF of Fractions is 1/17155323.Finally, GCF of Fractions for 842/4113, 593/4171 is 1/17155323.