Use our free GCF of Fractions Calculator tool to compute the GCF of 7245/181, 3273/654 i.e 3/118374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7245/181, 3273/654.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7245/181,3273/654
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 7245/181,3273/654, numerators are 7245,3273
Denominators are 181,654
The GCF of 7245,3273 is 3 .
LCM of 181,654 is 118374.
The greatest common factor of 7245/181,3273/654 = [GCF of 7245,3273]/[LCM of 181,654]= 3/118374
Therefore, the GCF of 7245/181,3273/654 is 3/118374.
To find the highest common factor of 7245,3273, we have to find the factors of both numbers and list the highest common factor.
The factors of 7245 are 1, 3, 5, 7, 9, 15, 21, 23, 35, 45, 63, 69, 105, 115, 161, 207, 315, 345, 483, 805, 1035, 1449, 2415, 7245
The factors of 3273 are 1, 3, 1091, 3273
The HCF of 7245,3273 is 3.
Lets's calculate GCF of 7245,3273
3 | 7245, 3273 |
2415, 1091 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 7245
:1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Now, list down the factors of 3273
:1,3,1091,3273
Greatest Common Factor
We found the factors 7245,3273 . The biggest common factor number is the GCF number.
So the greatest common factor 7245,3273 is 3.
Lets's calculate LCM of 181,654
Given numbers has no common factors except 1. So, there LCM is their product i.e 118374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/118374
Therefore, the GCF of Fractions 7245/181,3273/654 is 3/118374
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 181,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,654) x common factors =1 x 1 = 1
LCM(181,654) = ( 181 × 654 ) / 1
LCM(181,654) = 118374 / 1
LCM(181,654) = 118374
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7245,3273?
The HCF of 7245,3273 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 7245/181, 3273/654?
Answer: GCF of Numerators as per given numbers 7245/181, 3273/654 is
GCF of Numerators i.e. for 7245,3273 is 3
LCM of denominators i.e. for 181,654 is 118374.
Thus, GCF of Fractions is 3/118374.Finally, GCF of Fractions for 7245/181, 3273/654 is 3/118374.