Use our free GCF of Fractions Calculator tool to compute the GCF of 71/361, 597/513, 964/756 i.e 1/272916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 71/361, 597/513, 964/756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 71/361,597/513,964/756
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 71/361,597/513,964/756, numerators are 71,597,964
Denominators are 361,513,756
The GCF of 71,597,964 is 1 .
LCM of 361,513,756 is 272916.
The greatest common factor of 71/361,597/513,964/756 = [GCF of 71,597,964]/[LCM of 361,513,756]= 1/272916
Therefore, the GCF of 71/361,597/513,964/756 is 1/272916.
To find the highest common factor of 71,597,964, we have to find the factors of both numbers and list the highest common factor.
The factors of 71 are 1, 71
The factors of 597 are 1, 3, 199, 597
The factors of 964 are 1, 2, 4, 241, 482, 964
The HCF of 71,597,964 is 1.
Lets's calculate GCF of 71,597,964
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 71
:1,71
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 964
:1,2,4,241,482,964
Greatest Common Factor
We found the factors 71,597,964 . The biggest common factor number is the GCF number.
So the greatest common factor 71,597,964 is 1.
Lets's calculate LCM of 361,513,756
3 | 361, 513, 756 |
3 | 361, 171, 252 |
3 | 361, 57, 84 |
19 | 361, 19, 28 |
1, 19, 28 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 19 x 1 x 19 x 28 = 272916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272916
Therefore, the GCF of Fractions 71/361,597/513,964/756 is 1/272916
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 361,513,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,513,756) = 1
common factors(in case of two or more numbers have common factors) = 513
GCF(361,513,756) x common factors =1 x 513 = 513
LCM(361,513,756) = ( 361 × 513 × 756 ) / 513
LCM(361,513,756) = 140005908 / 513
LCM(361,513,756) = 272916
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 71,597,964?
The HCF of 71,597,964 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 71/361, 597/513, 964/756?
Answer: GCF of Numerators as per given numbers 71/361, 597/513, 964/756 is
GCF of Numerators i.e. for 71,597,964 is 1
LCM of denominators i.e. for 361,513,756 is 272916.
Thus, GCF of Fractions is 1/272916.Finally, GCF of Fractions for 71/361, 597/513, 964/756 is 1/272916.