GCF of 9090/596, 5904/9072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9090/596, 5904/9072 i.e 18/1351728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9090/596, 5904/9072.
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 9090/596,5904/9072?
Given fractions are 9090/596,5904/9072
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 9090/596,5904/9072, numerators are 9090,5904
Denominators are 596,9072
The GCF of 9090,5904 is 18 .
LCM of 596,9072 is 1351728.
The greatest common factor of 9090/596,5904/9072 = [GCF of 9090,5904]/[LCM of 596,9072]= 18/1351728
Therefore, the GCF of 9090/596,5904/9072 is 18/1351728.
To find the highest common factor of 9090,5904, we have to find the factors of both numbers and list the highest common factor.
The factors of 9090 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 101, 202, 303, 505, 606, 909, 1010, 1515, 1818, 3030, 4545, 9090
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904
The HCF of 9090,5904 is 18.
Lets's calculate GCF of 9090,5904
| 2 | 9090, 5904 |
| 3 | 4545, 2952 |
| 3 | 1515, 984 |
| 505, 328 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9090,5904 By Matching Biggest Common Factor Method
Now, list down the factors of 9090
:1,2,3,5,6,9,10,15,18,30,45,90,101,202,303,505,606,909,1010,1515,1818,3030,4545,9090
Now, list down the factors of 5904
:1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Greatest Common Factor
We found the factors 9090,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 9090,5904 is 18.
Lets's calculate LCM of 596,9072
| 2 | 596, 9072 |
| 2 | 298, 4536 |
| 149, 2268 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 2268 = 1351728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1351728
Therefore, the GCF of Fractions 9090/596,5904/9072 is 18/1351728
Least Common Multiple of 596,9072 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 596,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,9072) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(596,9072) x common factors =4 x 1 = 4
LCM(596,9072) = ( 596 × 9072 ) / 4
LCM(596,9072) = 5406912 / 4
LCM(596,9072) = 1351728
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FAQs on GCF of Fractions of 9090/596, 5904/9072
1. What is the HCF of 9090,5904?
The HCF of 9090,5904 is 18
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 9090/596, 5904/9072?
Answer: GCF of Numerators as per given numbers 9090/596, 5904/9072 is
GCF of Numerators i.e. for 9090,5904 is 18
LCM of denominators i.e. for 596,9072 is 1351728.
Thus, GCF of Fractions is 18/1351728.Finally, GCF of Fractions for 9090/596, 5904/9072 is 18/1351728.