GCF of 9204/744, 3648/480
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9204/744, 3648/480 i.e 12/14880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9204/744, 3648/480.
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 9204/744,3648/480?
Given fractions are 9204/744,3648/480
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 9204/744,3648/480, numerators are 9204,3648
Denominators are 744,480
The GCF of 9204,3648 is 12 .
LCM of 744,480 is 14880.
The greatest common factor of 9204/744,3648/480 = [GCF of 9204,3648]/[LCM of 744,480]= 12/14880
Therefore, the GCF of 9204/744,3648/480 is 12/14880.
To find the highest common factor of 9204,3648, we have to find the factors of both numbers and list the highest common factor.
The factors of 9204 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 59, 78, 118, 156, 177, 236, 354, 708, 767, 1534, 2301, 3068, 4602, 9204
The factors of 3648 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 152, 192, 228, 304, 456, 608, 912, 1216, 1824, 3648
The HCF of 9204,3648 is 12.
Lets's calculate GCF of 9204,3648
| 2 | 9204, 3648 |
| 2 | 4602, 1824 |
| 3 | 2301, 912 |
| 767, 304 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9204,3648 By Matching Biggest Common Factor Method
Now, list down the factors of 9204
:1,2,3,4,6,12,13,26,39,52,59,78,118,156,177,236,354,708,767,1534,2301,3068,4602,9204
Now, list down the factors of 3648
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,152,192,228,304,456,608,912,1216,1824,3648
Greatest Common Factor
We found the factors 9204,3648 . The biggest common factor number is the GCF number.
So the greatest common factor 9204,3648 is 12.
Lets's calculate LCM of 744,480
| 2 | 744, 480 |
| 2 | 372, 240 |
| 2 | 186, 120 |
| 3 | 93, 60 |
| 31, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 20 = 14880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/14880
Therefore, the GCF of Fractions 9204/744,3648/480 is 12/14880
Least Common Multiple of 744,480 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 744,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,480) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(744,480) x common factors =24 x 1 = 24
LCM(744,480) = ( 744 × 480 ) / 24
LCM(744,480) = 357120 / 24
LCM(744,480) = 14880
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FAQs on GCF of Fractions of 9204/744, 3648/480
1. What is the HCF of 9204,3648?
The HCF of 9204,3648 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 9204/744, 3648/480?
Answer: GCF of Numerators as per given numbers 9204/744, 3648/480 is
GCF of Numerators i.e. for 9204,3648 is 12
LCM of denominators i.e. for 744,480 is 14880.
Thus, GCF of Fractions is 12/14880.Finally, GCF of Fractions for 9204/744, 3648/480 is 12/14880.