Use our free GCF of Fractions Calculator tool to compute the GCF of 738/487, 2187/290 i.e 9/141230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 738/487, 2187/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 738/487,2187/290
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 738/487,2187/290, numerators are 738,2187
Denominators are 487,290
The GCF of 738,2187 is 9 .
LCM of 487,290 is 141230.
The greatest common factor of 738/487,2187/290 = [GCF of 738,2187]/[LCM of 487,290]= 9/141230
Therefore, the GCF of 738/487,2187/290 is 9/141230.
To find the highest common factor of 738,2187, we have to find the factors of both numbers and list the highest common factor.
The factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187
The HCF of 738,2187 is 9.
Lets's calculate GCF of 738,2187
3 | 738, 2187 |
3 | 246, 729 |
82, 243 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 738
:1,2,3,6,9,18,41,82,123,246,369,738
Now, list down the factors of 2187
:1,3,9,27,81,243,729,2187
Greatest Common Factor
We found the factors 738,2187 . The biggest common factor number is the GCF number.
So the greatest common factor 738,2187 is 9.
Lets's calculate LCM of 487,290
Given numbers has no common factors except 1. So, there LCM is their product i.e 141230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/141230
Therefore, the GCF of Fractions 738/487,2187/290 is 9/141230
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 487,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(487,290) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(487,290) x common factors =1 x 1 = 1
LCM(487,290) = ( 487 × 290 ) / 1
LCM(487,290) = 141230 / 1
LCM(487,290) = 141230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 738,2187?
The HCF of 738,2187 is 9
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 738/487, 2187/290?
Answer: GCF of Numerators as per given numbers 738/487, 2187/290 is
GCF of Numerators i.e. for 738,2187 is 9
LCM of denominators i.e. for 487,290 is 141230.
Thus, GCF of Fractions is 9/141230.Finally, GCF of Fractions for 738/487, 2187/290 is 9/141230.