Use our free GCF of Fractions Calculator tool to compute the GCF of 729/504, 880/759 i.e 1/127512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 729/504, 880/759.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 729/504,880/759
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 729/504,880/759, numerators are 729,880
Denominators are 504,759
The GCF of 729,880 is 1 .
LCM of 504,759 is 127512.
The greatest common factor of 729/504,880/759 = [GCF of 729,880]/[LCM of 504,759]= 1/127512
Therefore, the GCF of 729/504,880/759 is 1/127512.
To find the highest common factor of 729,880, we have to find the factors of both numbers and list the highest common factor.
The factors of 729 are 1, 3, 9, 27, 81, 243, 729
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
The HCF of 729,880 is 1.
Lets's calculate GCF of 729,880
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 729
:1,3,9,27,81,243,729
Now, list down the factors of 880
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 729,880 . The biggest common factor number is the GCF number.
So the greatest common factor 729,880 is 1.
Lets's calculate LCM of 504,759
3 | 504, 759 |
168, 253 |
∴ So the LCM of the given numbers is 3 x 168 x 253 = 127512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127512
Therefore, the GCF of Fractions 729/504,880/759 is 1/127512
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 504,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(504,759) x common factors =3 x 1 = 3
LCM(504,759) = ( 504 × 759 ) / 3
LCM(504,759) = 382536 / 3
LCM(504,759) = 127512
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 729,880?
The HCF of 729,880 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 729/504, 880/759?
Answer: GCF of Numerators as per given numbers 729/504, 880/759 is
GCF of Numerators i.e. for 729,880 is 1
LCM of denominators i.e. for 504,759 is 127512.
Thus, GCF of Fractions is 1/127512.Finally, GCF of Fractions for 729/504, 880/759 is 1/127512.