Use our free GCF of Fractions Calculator tool to compute the GCF of 901/764, 395/716 i.e 1/136756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/764, 395/716.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/764,395/716
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 901/764,395/716, numerators are 901,395
Denominators are 764,716
The GCF of 901,395 is 1 .
LCM of 764,716 is 136756.
The greatest common factor of 901/764,395/716 = [GCF of 901,395]/[LCM of 764,716]= 1/136756
Therefore, the GCF of 901/764,395/716 is 1/136756.
To find the highest common factor of 901,395, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 395 are 1, 5, 79, 395
The HCF of 901,395 is 1.
Lets's calculate GCF of 901,395
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 395
:1,5,79,395
Greatest Common Factor
We found the factors 901,395 . The biggest common factor number is the GCF number.
So the greatest common factor 901,395 is 1.
Lets's calculate LCM of 764,716
2 | 764, 716 |
2 | 382, 358 |
191, 179 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 179 = 136756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136756
Therefore, the GCF of Fractions 901/764,395/716 is 1/136756
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 764,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,716) x common factors =4 x 1 = 4
LCM(764,716) = ( 764 × 716 ) / 4
LCM(764,716) = 547024 / 4
LCM(764,716) = 136756
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 901,395?
The HCF of 901,395 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 901/764, 395/716?
Answer: GCF of Numerators as per given numbers 901/764, 395/716 is
GCF of Numerators i.e. for 901,395 is 1
LCM of denominators i.e. for 764,716 is 136756.
Thus, GCF of Fractions is 1/136756.Finally, GCF of Fractions for 901/764, 395/716 is 1/136756.