GCF of 7293/993, 7551/924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7293/993, 7551/924 i.e 3/305844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7293/993, 7551/924.
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 7293/993,7551/924?
Given fractions are 7293/993,7551/924
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 7293/993,7551/924, numerators are 7293,7551
Denominators are 993,924
The GCF of 7293,7551 is 3 .
LCM of 993,924 is 305844.
The greatest common factor of 7293/993,7551/924 = [GCF of 7293,7551]/[LCM of 993,924]= 3/305844
Therefore, the GCF of 7293/993,7551/924 is 3/305844.
To find the highest common factor of 7293,7551, we have to find the factors of both numbers and list the highest common factor.
The factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293
The factors of 7551 are 1, 3, 9, 839, 2517, 7551
The HCF of 7293,7551 is 3.
Lets's calculate GCF of 7293,7551
| 3 | 7293, 7551 |
| 2431, 2517 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7293,7551 By Matching Biggest Common Factor Method
Now, list down the factors of 7293
:1,3,11,13,17,33,39,51,143,187,221,429,561,663,2431,7293
Now, list down the factors of 7551
:1,3,9,839,2517,7551
Greatest Common Factor
We found the factors 7293,7551 . The biggest common factor number is the GCF number.
So the greatest common factor 7293,7551 is 3.
Lets's calculate LCM of 993,924
| 3 | 993, 924 |
| 331, 308 |
∴ So the LCM of the given numbers is 3 x 331 x 308 = 305844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/305844
Therefore, the GCF of Fractions 7293/993,7551/924 is 3/305844
Least Common Multiple of 993,924 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 993,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,924) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,924) x common factors =3 x 1 = 3
LCM(993,924) = ( 993 × 924 ) / 3
LCM(993,924) = 917532 / 3
LCM(993,924) = 305844
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FAQs on GCF of Fractions of 7293/993, 7551/924
1. What is the HCF of 7293,7551?
The HCF of 7293,7551 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 7293/993, 7551/924?
Answer: GCF of Numerators as per given numbers 7293/993, 7551/924 is
GCF of Numerators i.e. for 7293,7551 is 3
LCM of denominators i.e. for 993,924 is 305844.
Thus, GCF of Fractions is 3/305844.Finally, GCF of Fractions for 7293/993, 7551/924 is 3/305844.