Use our free GCF of Fractions Calculator tool to compute the GCF of 237/284, 666/153 i.e 3/43452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/284, 666/153.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 237/284,666/153
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 237/284,666/153, numerators are 237,666
Denominators are 284,153
The GCF of 237,666 is 3 .
LCM of 284,153 is 43452.
The greatest common factor of 237/284,666/153 = [GCF of 237,666]/[LCM of 284,153]= 3/43452
Therefore, the GCF of 237/284,666/153 is 3/43452.
To find the highest common factor of 237,666, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The HCF of 237,666 is 3.
Lets's calculate GCF of 237,666
3 | 237, 666 |
79, 222 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 237,666 . The biggest common factor number is the GCF number.
So the greatest common factor 237,666 is 3.
Lets's calculate LCM of 284,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 43452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43452
Therefore, the GCF of Fractions 237/284,666/153 is 3/43452
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 284,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,153) x common factors =1 x 1 = 1
LCM(284,153) = ( 284 × 153 ) / 1
LCM(284,153) = 43452 / 1
LCM(284,153) = 43452
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 237,666?
The HCF of 237,666 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 237/284, 666/153?
Answer: GCF of Numerators as per given numbers 237/284, 666/153 is
GCF of Numerators i.e. for 237,666 is 3
LCM of denominators i.e. for 284,153 is 43452.
Thus, GCF of Fractions is 3/43452.Finally, GCF of Fractions for 237/284, 666/153 is 3/43452.