GCF of 7272/644, 9732/9844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7272/644, 9732/9844 i.e 12/68908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7272/644, 9732/9844.
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 7272/644,9732/9844?
Given fractions are 7272/644,9732/9844
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 7272/644,9732/9844, numerators are 7272,9732
Denominators are 644,9844
The GCF of 7272,9732 is 12 .
LCM of 644,9844 is 68908.
The greatest common factor of 7272/644,9732/9844 = [GCF of 7272,9732]/[LCM of 644,9844]= 12/68908
Therefore, the GCF of 7272/644,9732/9844 is 12/68908.
To find the highest common factor of 7272,9732, we have to find the factors of both numbers and list the highest common factor.
The factors of 7272 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 101, 202, 303, 404, 606, 808, 909, 1212, 1818, 2424, 3636, 7272
The factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732
The HCF of 7272,9732 is 12.
Lets's calculate GCF of 7272,9732
| 2 | 7272, 9732 |
| 2 | 3636, 4866 |
| 3 | 1818, 2433 |
| 606, 811 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7272,9732 By Matching Biggest Common Factor Method
Now, list down the factors of 7272
:1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Now, list down the factors of 9732
:1,2,3,4,6,12,811,1622,2433,3244,4866,9732
Greatest Common Factor
We found the factors 7272,9732 . The biggest common factor number is the GCF number.
So the greatest common factor 7272,9732 is 12.
Lets's calculate LCM of 644,9844
| 2 | 644, 9844 |
| 2 | 322, 4922 |
| 23 | 161, 2461 |
| 7, 107 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 7 x 107 = 68908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/68908
Therefore, the GCF of Fractions 7272/644,9732/9844 is 12/68908
Least Common Multiple of 644,9844 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 644,9844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,9844) = 92
common factors(in case of two or more numbers have common factors) = 1
GCF(644,9844) x common factors =92 x 1 = 92
LCM(644,9844) = ( 644 × 9844 ) / 92
LCM(644,9844) = 6339536 / 92
LCM(644,9844) = 68908
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FAQs on GCF of Fractions of 7272/644, 9732/9844
1. What is the HCF of 7272,9732?
The HCF of 7272,9732 is 12
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 7272/644, 9732/9844?
Answer: GCF of Numerators as per given numbers 7272/644, 9732/9844 is
GCF of Numerators i.e. for 7272,9732 is 12
LCM of denominators i.e. for 644,9844 is 68908.
Thus, GCF of Fractions is 12/68908.Finally, GCF of Fractions for 7272/644, 9732/9844 is 12/68908.