Use our free GCF of Fractions Calculator tool to compute the GCF of 964/517, 176/960 i.e 4/496320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 964/517, 176/960.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 964/517,176/960
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 964/517,176/960, numerators are 964,176
Denominators are 517,960
The GCF of 964,176 is 4 .
LCM of 517,960 is 496320.
The greatest common factor of 964/517,176/960 = [GCF of 964,176]/[LCM of 517,960]= 4/496320
Therefore, the GCF of 964/517,176/960 is 4/496320.
To find the highest common factor of 964,176, we have to find the factors of both numbers and list the highest common factor.
The factors of 964 are 1, 2, 4, 241, 482, 964
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The HCF of 964,176 is 4.
Lets's calculate GCF of 964,176
2 | 964, 176 |
2 | 482, 88 |
241, 44 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 964
:1,2,4,241,482,964
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 964,176 . The biggest common factor number is the GCF number.
So the greatest common factor 964,176 is 4.
Lets's calculate LCM of 517,960
Given numbers has no common factors except 1. So, there LCM is their product i.e 496320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/496320
Therefore, the GCF of Fractions 964/517,176/960 is 4/496320
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 517,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,960) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,960) x common factors =1 x 1 = 1
LCM(517,960) = ( 517 × 960 ) / 1
LCM(517,960) = 496320 / 1
LCM(517,960) = 496320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 964,176?
The HCF of 964,176 is 4
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 964/517, 176/960?
Answer: GCF of Numerators as per given numbers 964/517, 176/960 is
GCF of Numerators i.e. for 964,176 is 4
LCM of denominators i.e. for 517,960 is 496320.
Thus, GCF of Fractions is 4/496320.Finally, GCF of Fractions for 964/517, 176/960 is 4/496320.