Use our free GCF of Fractions Calculator tool to compute the GCF of 201/782, 177/686 i.e 3/268226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 201/782, 177/686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/782,177/686
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 201/782,177/686, numerators are 201,177
Denominators are 782,686
The GCF of 201,177 is 3 .
LCM of 782,686 is 268226.
The greatest common factor of 201/782,177/686 = [GCF of 201,177]/[LCM of 782,686]= 3/268226
Therefore, the GCF of 201/782,177/686 is 3/268226.
To find the highest common factor of 201,177, we have to find the factors of both numbers and list the highest common factor.
The factors of 201 are 1, 3, 67, 201
The factors of 177 are 1, 3, 59, 177
The HCF of 201,177 is 3.
Lets's calculate GCF of 201,177
3 | 201, 177 |
67, 59 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 201
:1,3,67,201
Now, list down the factors of 177
:1,3,59,177
Greatest Common Factor
We found the factors 201,177 . The biggest common factor number is the GCF number.
So the greatest common factor 201,177 is 3.
Lets's calculate LCM of 782,686
2 | 782, 686 |
391, 343 |
∴ So the LCM of the given numbers is 2 x 391 x 343 = 268226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/268226
Therefore, the GCF of Fractions 201/782,177/686 is 3/268226
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 782,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,686) x common factors =2 x 1 = 2
LCM(782,686) = ( 782 × 686 ) / 2
LCM(782,686) = 536452 / 2
LCM(782,686) = 268226
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 201,177?
The HCF of 201,177 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 201/782, 177/686?
Answer: GCF of Numerators as per given numbers 201/782, 177/686 is
GCF of Numerators i.e. for 201,177 is 3
LCM of denominators i.e. for 782,686 is 268226.
Thus, GCF of Fractions is 3/268226.Finally, GCF of Fractions for 201/782, 177/686 is 3/268226.