Use our free GCF of Fractions Calculator tool to compute the GCF of 13/18, 617/79, 201/877 i.e 1/1247094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/18, 617/79, 201/877.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/18,617/79,201/877
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 13/18,617/79,201/877, numerators are 13,617,201
Denominators are 18,79,877
The GCF of 13,617,201 is 1 .
LCM of 18,79,877 is 1247094.
The greatest common factor of 13/18,617/79,201/877 = [GCF of 13,617,201]/[LCM of 18,79,877]= 1/1247094
Therefore, the GCF of 13/18,617/79,201/877 is 1/1247094.
To find the highest common factor of 13,617,201, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 617 are 1, 617
The factors of 201 are 1, 3, 67, 201
The HCF of 13,617,201 is 1.
Lets's calculate GCF of 13,617,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 13
:1,13
Now, list down the factors of 617
:1,617
Now, list down the factors of 201
:1,3,67,201
Greatest Common Factor
We found the factors 13,617,201 . The biggest common factor number is the GCF number.
So the greatest common factor 13,617,201 is 1.
Lets's calculate LCM of 18,79,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 1247094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1247094
Therefore, the GCF of Fractions 13/18,617/79,201/877 is 1/1247094
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 18,79,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,79,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,79,877) x common factors =1 x 1 = 1
LCM(18,79,877) = ( 18 × 79 × 877 ) / 1
LCM(18,79,877) = 1247094 / 1
LCM(18,79,877) = 1247094
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 13,617,201?
The HCF of 13,617,201 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 13/18, 617/79, 201/877?
Answer: GCF of Numerators as per given numbers 13/18, 617/79, 201/877 is
GCF of Numerators i.e. for 13,617,201 is 1
LCM of denominators i.e. for 18,79,877 is 1247094.
Thus, GCF of Fractions is 1/1247094.Finally, GCF of Fractions for 13/18, 617/79, 201/877 is 1/1247094.