GCF of 7236/574, 2241/3238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7236/574, 2241/3238 i.e 27/929306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7236/574, 2241/3238.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7236/574,2241/3238?
Given fractions are 7236/574,2241/3238
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 7236/574,2241/3238, numerators are 7236,2241
Denominators are 574,3238
The GCF of 7236,2241 is 27 .
LCM of 574,3238 is 929306.
The greatest common factor of 7236/574,2241/3238 = [GCF of 7236,2241]/[LCM of 574,3238]= 27/929306
Therefore, the GCF of 7236/574,2241/3238 is 27/929306.
To find the highest common factor of 7236,2241, we have to find the factors of both numbers and list the highest common factor.
The factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236
The factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241
The HCF of 7236,2241 is 27.
Lets's calculate GCF of 7236,2241
| 3 | 7236, 2241 |
| 3 | 2412, 747 |
| 3 | 804, 249 |
| 268, 83 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 7236,2241 By Matching Biggest Common Factor Method
Now, list down the factors of 7236
:1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236
Now, list down the factors of 2241
:1,3,9,27,83,249,747,2241
Greatest Common Factor
We found the factors 7236,2241 . The biggest common factor number is the GCF number.
So the greatest common factor 7236,2241 is 27.
Lets's calculate LCM of 574,3238
| 2 | 574, 3238 |
| 287, 1619 |
∴ So the LCM of the given numbers is 2 x 287 x 1619 = 929306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/929306
Therefore, the GCF of Fractions 7236/574,2241/3238 is 27/929306
Least Common Multiple of 574,3238 with GCF Formula
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 574,3238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,3238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,3238) x common factors =2 x 1 = 2
LCM(574,3238) = ( 574 × 3238 ) / 2
LCM(574,3238) = 1858612 / 2
LCM(574,3238) = 929306
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FAQs on GCF of Fractions of 7236/574, 2241/3238
1. What is the HCF of 7236,2241?
The HCF of 7236,2241 is 27
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 7236/574, 2241/3238?
Answer: GCF of Numerators as per given numbers 7236/574, 2241/3238 is
GCF of Numerators i.e. for 7236,2241 is 27
LCM of denominators i.e. for 574,3238 is 929306.
Thus, GCF of Fractions is 27/929306.Finally, GCF of Fractions for 7236/574, 2241/3238 is 27/929306.