GCF of 2808/447, 9576/7589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2808/447, 9576/7589 i.e 72/3392283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2808/447, 9576/7589.
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 2808/447,9576/7589?
Given fractions are 2808/447,9576/7589
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 2808/447,9576/7589, numerators are 2808,9576
Denominators are 447,7589
The GCF of 2808,9576 is 72 .
LCM of 447,7589 is 3392283.
The greatest common factor of 2808/447,9576/7589 = [GCF of 2808,9576]/[LCM of 447,7589]= 72/3392283
Therefore, the GCF of 2808/447,9576/7589 is 72/3392283.
To find the highest common factor of 2808,9576, we have to find the factors of both numbers and list the highest common factor.
The factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808
The factors of 9576 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 28, 36, 38, 42, 56, 57, 63, 72, 76, 84, 114, 126, 133, 152, 168, 171, 228, 252, 266, 342, 399, 456, 504, 532, 684, 798, 1064, 1197, 1368, 1596, 2394, 3192, 4788, 9576
The HCF of 2808,9576 is 72.
Lets's calculate GCF of 2808,9576
| 2 | 2808, 9576 |
| 2 | 1404, 4788 |
| 2 | 702, 2394 |
| 3 | 351, 1197 |
| 3 | 117, 399 |
| 39, 133 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72
Greatest Common Factor of 2808,9576 By Matching Biggest Common Factor Method
Now, list down the factors of 2808
:1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808
Now, list down the factors of 9576
:1,2,3,4,6,7,8,9,12,14,18,19,21,24,28,36,38,42,56,57,63,72,76,84,114,126,133,152,168,171,228,252,266,342,399,456,504,532,684,798,1064,1197,1368,1596,2394,3192,4788,9576
Greatest Common Factor
We found the factors 2808,9576 . The biggest common factor number is the GCF number.
So the greatest common factor 2808,9576 is 72.
Lets's calculate LCM of 447,7589
Given numbers has no common factors except 1. So, there LCM is their product i.e 3392283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/3392283
Therefore, the GCF of Fractions 2808/447,9576/7589 is 72/3392283
Least Common Multiple of 447,7589 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 447,7589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,7589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,7589) x common factors =1 x 1 = 1
LCM(447,7589) = ( 447 × 7589 ) / 1
LCM(447,7589) = 3392283 / 1
LCM(447,7589) = 3392283
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2808/447, 9576/7589
1. What is the HCF of 2808,9576?
The HCF of 2808,9576 is 72
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 2808/447, 9576/7589?
Answer: GCF of Numerators as per given numbers 2808/447, 9576/7589 is
GCF of Numerators i.e. for 2808,9576 is 72
LCM of denominators i.e. for 447,7589 is 3392283.
Thus, GCF of Fractions is 72/3392283.Finally, GCF of Fractions for 2808/447, 9576/7589 is 72/3392283.