GCF of 6528/320, 9924/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6528/320, 9924/554 i.e 12/88640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6528/320, 9924/554.
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 6528/320,9924/554?
Given fractions are 6528/320,9924/554
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 6528/320,9924/554, numerators are 6528,9924
Denominators are 320,554
The GCF of 6528,9924 is 12 .
LCM of 320,554 is 88640.
The greatest common factor of 6528/320,9924/554 = [GCF of 6528,9924]/[LCM of 320,554]= 12/88640
Therefore, the GCF of 6528/320,9924/554 is 12/88640.
To find the highest common factor of 6528,9924, we have to find the factors of both numbers and list the highest common factor.
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The HCF of 6528,9924 is 12.
Lets's calculate GCF of 6528,9924
| 2 | 6528, 9924 |
| 2 | 3264, 4962 |
| 3 | 1632, 2481 |
| 544, 827 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6528,9924 By Matching Biggest Common Factor Method
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Greatest Common Factor
We found the factors 6528,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 6528,9924 is 12.
Lets's calculate LCM of 320,554
| 2 | 320, 554 |
| 160, 277 |
∴ So the LCM of the given numbers is 2 x 160 x 277 = 88640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/88640
Therefore, the GCF of Fractions 6528/320,9924/554 is 12/88640
Least Common Multiple of 320,554 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 320,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,554) x common factors =2 x 1 = 2
LCM(320,554) = ( 320 × 554 ) / 2
LCM(320,554) = 177280 / 2
LCM(320,554) = 88640
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FAQs on GCF of Fractions of 6528/320, 9924/554
1. What is the HCF of 6528,9924?
The HCF of 6528,9924 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 6528/320, 9924/554?
Answer: GCF of Numerators as per given numbers 6528/320, 9924/554 is
GCF of Numerators i.e. for 6528,9924 is 12
LCM of denominators i.e. for 320,554 is 88640.
Thus, GCF of Fractions is 12/88640.Finally, GCF of Fractions for 6528/320, 9924/554 is 12/88640.