Use our free GCF of Fractions Calculator tool to compute the GCF of 25/297, 785/297, 326/285 i.e 1/28215 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/297, 785/297, 326/285.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/297,785/297,326/285
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 25/297,785/297,326/285, numerators are 25,785,326
Denominators are 297,297,285
The GCF of 25,785,326 is 1 .
LCM of 297,297,285 is 28215.
The greatest common factor of 25/297,785/297,326/285 = [GCF of 25,785,326]/[LCM of 297,297,285]= 1/28215
Therefore, the GCF of 25/297,785/297,326/285 is 1/28215.
To find the highest common factor of 25,785,326, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 785 are 1, 5, 157, 785
The factors of 326 are 1, 2, 163, 326
The HCF of 25,785,326 is 1.
Lets's calculate GCF of 25,785,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 785
:1,5,157,785
Now, list down the factors of 326
:1,2,163,326
Greatest Common Factor
We found the factors 25,785,326 . The biggest common factor number is the GCF number.
So the greatest common factor 25,785,326 is 1.
Lets's calculate LCM of 297,297,285
3 | 297, 297, 285 |
3 | 99, 99, 95 |
3 | 33, 33, 95 |
11 | 11, 11, 95 |
1, 1, 95 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 1 x 1 x 95 = 28215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28215
Therefore, the GCF of Fractions 25/297,785/297,326/285 is 1/28215
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 297,297,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,297,285) = 3
common factors(in case of two or more numbers have common factors) = 297
GCF(297,297,285) x common factors =3 x 297 = 891
LCM(297,297,285) = ( 297 × 297 × 285 ) / 891
LCM(297,297,285) = 25139565 / 891
LCM(297,297,285) = 28215
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,785,326?
The HCF of 25,785,326 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 25/297, 785/297, 326/285?
Answer: GCF of Numerators as per given numbers 25/297, 785/297, 326/285 is
GCF of Numerators i.e. for 25,785,326 is 1
LCM of denominators i.e. for 297,297,285 is 28215.
Thus, GCF of Fractions is 1/28215.Finally, GCF of Fractions for 25/297, 785/297, 326/285 is 1/28215.