Use our free GCF of Fractions Calculator tool to compute the GCF of 521/640, 727/835 i.e 1/106880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 521/640, 727/835.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 521/640,727/835
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 521/640,727/835, numerators are 521,727
Denominators are 640,835
The GCF of 521,727 is 1 .
LCM of 640,835 is 106880.
The greatest common factor of 521/640,727/835 = [GCF of 521,727]/[LCM of 640,835]= 1/106880
Therefore, the GCF of 521/640,727/835 is 1/106880.
To find the highest common factor of 521,727, we have to find the factors of both numbers and list the highest common factor.
The factors of 521 are 1, 521
The factors of 727 are 1, 727
The HCF of 521,727 is 1.
Lets's calculate GCF of 521,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 521
:1,521
Now, list down the factors of 727
:1,727
Greatest Common Factor
We found the factors 521,727 . The biggest common factor number is the GCF number.
So the greatest common factor 521,727 is 1.
Lets's calculate LCM of 640,835
5 | 640, 835 |
128, 167 |
∴ So the LCM of the given numbers is 5 x 128 x 167 = 106880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106880
Therefore, the GCF of Fractions 521/640,727/835 is 1/106880
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 640,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(640,835) x common factors =5 x 1 = 5
LCM(640,835) = ( 640 × 835 ) / 5
LCM(640,835) = 534400 / 5
LCM(640,835) = 106880
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 521,727?
The HCF of 521,727 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 521/640, 727/835?
Answer: GCF of Numerators as per given numbers 521/640, 727/835 is
GCF of Numerators i.e. for 521,727 is 1
LCM of denominators i.e. for 640,835 is 106880.
Thus, GCF of Fractions is 1/106880.Finally, GCF of Fractions for 521/640, 727/835 is 1/106880.