Use our free GCF of Fractions Calculator tool to compute the GCF of 252/565, 201/186 i.e 3/105090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 252/565, 201/186.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 252/565,201/186
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 252/565,201/186, numerators are 252,201
Denominators are 565,186
The GCF of 252,201 is 3 .
LCM of 565,186 is 105090.
The greatest common factor of 252/565,201/186 = [GCF of 252,201]/[LCM of 565,186]= 3/105090
Therefore, the GCF of 252/565,201/186 is 3/105090.
To find the highest common factor of 252,201, we have to find the factors of both numbers and list the highest common factor.
The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
The factors of 201 are 1, 3, 67, 201
The HCF of 252,201 is 3.
Lets's calculate GCF of 252,201
3 | 252, 201 |
84, 67 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 252
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Now, list down the factors of 201
:1,3,67,201
Greatest Common Factor
We found the factors 252,201 . The biggest common factor number is the GCF number.
So the greatest common factor 252,201 is 3.
Lets's calculate LCM of 565,186
Given numbers has no common factors except 1. So, there LCM is their product i.e 105090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/105090
Therefore, the GCF of Fractions 252/565,201/186 is 3/105090
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 565,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,186) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,186) x common factors =1 x 1 = 1
LCM(565,186) = ( 565 × 186 ) / 1
LCM(565,186) = 105090 / 1
LCM(565,186) = 105090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 252,201?
The HCF of 252,201 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 252/565, 201/186?
Answer: GCF of Numerators as per given numbers 252/565, 201/186 is
GCF of Numerators i.e. for 252,201 is 3
LCM of denominators i.e. for 565,186 is 105090.
Thus, GCF of Fractions is 3/105090.Finally, GCF of Fractions for 252/565, 201/186 is 3/105090.