Use our free GCF of Fractions Calculator tool to compute the GCF of 193/867, 772/425 i.e 193/21675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 193/867, 772/425.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/867,772/425
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 193/867,772/425, numerators are 193,772
Denominators are 867,425
The GCF of 193,772 is 193 .
LCM of 867,425 is 21675.
The greatest common factor of 193/867,772/425 = [GCF of 193,772]/[LCM of 867,425]= 193/21675
Therefore, the GCF of 193/867,772/425 is 193/21675.
To find the highest common factor of 193,772, we have to find the factors of both numbers and list the highest common factor.
The factors of 193 are 1, 193
The factors of 772 are 1, 2, 4, 193, 386, 772
The HCF of 193,772 is 193.
Lets's calculate GCF of 193,772
193 | 193, 772 |
1, 4 |
∴ So the GCF of the given numbers is 193 = 193
Now, list down the factors of 193
:1,193
Now, list down the factors of 772
:1,2,4,193,386,772
Greatest Common Factor
We found the factors 193,772 . The biggest common factor number is the GCF number.
So the greatest common factor 193,772 is 193.
Lets's calculate LCM of 867,425
17 | 867, 425 |
51, 25 |
∴ So the LCM of the given numbers is 17 x 51 x 25 = 21675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 193/21675
Therefore, the GCF of Fractions 193/867,772/425 is 193/21675
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 867,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,425) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(867,425) x common factors =17 x 1 = 17
LCM(867,425) = ( 867 × 425 ) / 17
LCM(867,425) = 368475 / 17
LCM(867,425) = 21675
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 193,772?
The HCF of 193,772 is 193
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 193/867, 772/425?
Answer: GCF of Numerators as per given numbers 193/867, 772/425 is
GCF of Numerators i.e. for 193,772 is 193
LCM of denominators i.e. for 867,425 is 21675.
Thus, GCF of Fractions is 193/21675.Finally, GCF of Fractions for 193/867, 772/425 is 193/21675.