Use our free GCF of Fractions Calculator tool to compute the GCF of 925/285, 656/675 i.e 1/12825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/285, 656/675.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/285,656/675
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 925/285,656/675, numerators are 925,656
Denominators are 285,675
The GCF of 925,656 is 1 .
LCM of 285,675 is 12825.
The greatest common factor of 925/285,656/675 = [GCF of 925,656]/[LCM of 285,675]= 1/12825
Therefore, the GCF of 925/285,656/675 is 1/12825.
To find the highest common factor of 925,656, we have to find the factors of both numbers and list the highest common factor.
The factors of 925 are 1, 5, 25, 37, 185, 925
The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
The HCF of 925,656 is 1.
Lets's calculate GCF of 925,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 925
:1,5,25,37,185,925
Now, list down the factors of 656
:1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 925,656 . The biggest common factor number is the GCF number.
So the greatest common factor 925,656 is 1.
Lets's calculate LCM of 285,675
3 | 285, 675 |
5 | 95, 225 |
19, 45 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 45 = 12825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12825
Therefore, the GCF of Fractions 925/285,656/675 is 1/12825
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 285,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,675) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(285,675) x common factors =15 x 1 = 15
LCM(285,675) = ( 285 × 675 ) / 15
LCM(285,675) = 192375 / 15
LCM(285,675) = 12825
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 925,656?
The HCF of 925,656 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 925/285, 656/675?
Answer: GCF of Numerators as per given numbers 925/285, 656/675 is
GCF of Numerators i.e. for 925,656 is 1
LCM of denominators i.e. for 285,675 is 12825.
Thus, GCF of Fractions is 1/12825.Finally, GCF of Fractions for 925/285, 656/675 is 1/12825.