GCF of 4644/616, 8799/724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4644/616, 8799/724 i.e 3/111496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4644/616, 8799/724.
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 4644/616,8799/724?
Given fractions are 4644/616,8799/724
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 4644/616,8799/724, numerators are 4644,8799
Denominators are 616,724
The GCF of 4644,8799 is 3 .
LCM of 616,724 is 111496.
The greatest common factor of 4644/616,8799/724 = [GCF of 4644,8799]/[LCM of 616,724]= 3/111496
Therefore, the GCF of 4644/616,8799/724 is 3/111496.
To find the highest common factor of 4644,8799, we have to find the factors of both numbers and list the highest common factor.
The factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, 4644
The factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799
The HCF of 4644,8799 is 3.
Lets's calculate GCF of 4644,8799
| 3 | 4644, 8799 |
| 1548, 2933 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4644,8799 By Matching Biggest Common Factor Method
Now, list down the factors of 4644
:1,2,3,4,6,9,12,18,27,36,43,54,86,108,129,172,258,387,516,774,1161,1548,2322,4644
Now, list down the factors of 8799
:1,3,7,21,419,1257,2933,8799
Greatest Common Factor
We found the factors 4644,8799 . The biggest common factor number is the GCF number.
So the greatest common factor 4644,8799 is 3.
Lets's calculate LCM of 616,724
| 2 | 616, 724 |
| 2 | 308, 362 |
| 154, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 154 x 181 = 111496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111496
Therefore, the GCF of Fractions 4644/616,8799/724 is 3/111496
Least Common Multiple of 616,724 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 616,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(616,724) x common factors =4 x 1 = 4
LCM(616,724) = ( 616 × 724 ) / 4
LCM(616,724) = 445984 / 4
LCM(616,724) = 111496
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FAQs on GCF of Fractions of 4644/616, 8799/724
1. What is the HCF of 4644,8799?
The HCF of 4644,8799 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 4644/616, 8799/724?
Answer: GCF of Numerators as per given numbers 4644/616, 8799/724 is
GCF of Numerators i.e. for 4644,8799 is 3
LCM of denominators i.e. for 616,724 is 111496.
Thus, GCF of Fractions is 3/111496.Finally, GCF of Fractions for 4644/616, 8799/724 is 3/111496.