Use our free GCF of Fractions Calculator tool to compute the GCF of 613/586, 815/946 i.e 1/277178 easily. The following is the detailed procedure to determine the greatest common factor of fractions 613/586, 815/946.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 613/586,815/946
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 613/586,815/946, numerators are 613,815
Denominators are 586,946
The GCF of 613,815 is 1 .
LCM of 586,946 is 277178.
The greatest common factor of 613/586,815/946 = [GCF of 613,815]/[LCM of 586,946]= 1/277178
Therefore, the GCF of 613/586,815/946 is 1/277178.
To find the highest common factor of 613,815, we have to find the factors of both numbers and list the highest common factor.
The factors of 613 are 1, 613
The factors of 815 are 1, 5, 163, 815
The HCF of 613,815 is 1.
Lets's calculate GCF of 613,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 613
:1,613
Now, list down the factors of 815
:1,5,163,815
Greatest Common Factor
We found the factors 613,815 . The biggest common factor number is the GCF number.
So the greatest common factor 613,815 is 1.
Lets's calculate LCM of 586,946
2 | 586, 946 |
293, 473 |
∴ So the LCM of the given numbers is 2 x 293 x 473 = 277178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277178
Therefore, the GCF of Fractions 613/586,815/946 is 1/277178
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 586,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,946) x common factors =2 x 1 = 2
LCM(586,946) = ( 586 × 946 ) / 2
LCM(586,946) = 554356 / 2
LCM(586,946) = 277178
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 613,815?
The HCF of 613,815 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 613/586, 815/946?
Answer: GCF of Numerators as per given numbers 613/586, 815/946 is
GCF of Numerators i.e. for 613,815 is 1
LCM of denominators i.e. for 586,946 is 277178.
Thus, GCF of Fractions is 1/277178.Finally, GCF of Fractions for 613/586, 815/946 is 1/277178.