Use our free GCF of Fractions Calculator tool to compute the GCF of 525/836, 573/326 i.e 3/136268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 525/836, 573/326.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 525/836,573/326
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 525/836,573/326, numerators are 525,573
Denominators are 836,326
The GCF of 525,573 is 3 .
LCM of 836,326 is 136268.
The greatest common factor of 525/836,573/326 = [GCF of 525,573]/[LCM of 836,326]= 3/136268
Therefore, the GCF of 525/836,573/326 is 3/136268.
To find the highest common factor of 525,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The factors of 573 are 1, 3, 191, 573
The HCF of 525,573 is 3.
Lets's calculate GCF of 525,573
3 | 525, 573 |
175, 191 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 525,573 . The biggest common factor number is the GCF number.
So the greatest common factor 525,573 is 3.
Lets's calculate LCM of 836,326
2 | 836, 326 |
418, 163 |
∴ So the LCM of the given numbers is 2 x 418 x 163 = 136268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/136268
Therefore, the GCF of Fractions 525/836,573/326 is 3/136268
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 836,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,326) x common factors =2 x 1 = 2
LCM(836,326) = ( 836 × 326 ) / 2
LCM(836,326) = 272536 / 2
LCM(836,326) = 136268
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 525,573?
The HCF of 525,573 is 3
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 525/836, 573/326?
Answer: GCF of Numerators as per given numbers 525/836, 573/326 is
GCF of Numerators i.e. for 525,573 is 3
LCM of denominators i.e. for 836,326 is 136268.
Thus, GCF of Fractions is 3/136268.Finally, GCF of Fractions for 525/836, 573/326 is 3/136268.