Use our free GCF of Fractions Calculator tool to compute the GCF of 25/297, 848/575, 622/925 i.e 1/6318675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/297, 848/575, 622/925.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 25/297,848/575,622/925
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 25/297,848/575,622/925, numerators are 25,848,622
Denominators are 297,575,925
The GCF of 25,848,622 is 1 .
LCM of 297,575,925 is 6318675.
The greatest common factor of 25/297,848/575,622/925 = [GCF of 25,848,622]/[LCM of 297,575,925]= 1/6318675
Therefore, the GCF of 25/297,848/575,622/925 is 1/6318675.
To find the highest common factor of 25,848,622, 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 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The factors of 622 are 1, 2, 311, 622
The HCF of 25,848,622 is 1.
Lets's calculate GCF of 25,848,622
∴ 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 848
:1,2,4,8,16,53,106,212,424,848
Now, list down the factors of 622
:1,2,311,622
Greatest Common Factor
We found the factors 25,848,622 . The biggest common factor number is the GCF number.
So the greatest common factor 25,848,622 is 1.
Lets's calculate LCM of 297,575,925
5 | 297, 575, 925 |
5 | 297, 115, 185 |
297, 23, 37 |
∴ So the LCM of the given numbers is 5 x 5 x 297 x 23 x 37 = 6318675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6318675
Therefore, the GCF of Fractions 25/297,848/575,622/925 is 1/6318675
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 297,575,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,575,925) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(297,575,925) x common factors =1 x 25 = 25
LCM(297,575,925) = ( 297 × 575 × 925 ) / 25
LCM(297,575,925) = 157966875 / 25
LCM(297,575,925) = 6318675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 25,848,622?
The HCF of 25,848,622 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, 848/575, 622/925?
Answer: GCF of Numerators as per given numbers 25/297, 848/575, 622/925 is
GCF of Numerators i.e. for 25,848,622 is 1
LCM of denominators i.e. for 297,575,925 is 6318675.
Thus, GCF of Fractions is 1/6318675.Finally, GCF of Fractions for 25/297, 848/575, 622/925 is 1/6318675.