GCF of 9009/970, 1026/784
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9009/970, 1026/784 i.e 9/380240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9009/970, 1026/784.
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 9009/970,1026/784?
Given fractions are 9009/970,1026/784
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 9009/970,1026/784, numerators are 9009,1026
Denominators are 970,784
The GCF of 9009,1026 is 9 .
LCM of 970,784 is 380240.
The greatest common factor of 9009/970,1026/784 = [GCF of 9009,1026]/[LCM of 970,784]= 9/380240
Therefore, the GCF of 9009/970,1026/784 is 9/380240.
To find the highest common factor of 9009,1026, we have to find the factors of both numbers and list the highest common factor.
The factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009
The factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026
The HCF of 9009,1026 is 9.
Lets's calculate GCF of 9009,1026
| 3 | 9009, 1026 |
| 3 | 3003, 342 |
| 1001, 114 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 9009,1026 By Matching Biggest Common Factor Method
Now, list down the factors of 9009
:1,3,7,9,11,13,21,33,39,63,77,91,99,117,143,231,273,429,693,819,1001,1287,3003,9009
Now, list down the factors of 1026
:1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026
Greatest Common Factor
We found the factors 9009,1026 . The biggest common factor number is the GCF number.
So the greatest common factor 9009,1026 is 9.
Lets's calculate LCM of 970,784
| 2 | 970, 784 |
| 485, 392 |
∴ So the LCM of the given numbers is 2 x 485 x 392 = 380240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/380240
Therefore, the GCF of Fractions 9009/970,1026/784 is 9/380240
Least Common Multiple of 970,784 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 970,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,784) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,784) x common factors =2 x 1 = 2
LCM(970,784) = ( 970 × 784 ) / 2
LCM(970,784) = 760480 / 2
LCM(970,784) = 380240
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FAQs on GCF of Fractions of 9009/970, 1026/784
1. What is the HCF of 9009,1026?
The HCF of 9009,1026 is 9
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 9009/970, 1026/784?
Answer: GCF of Numerators as per given numbers 9009/970, 1026/784 is
GCF of Numerators i.e. for 9009,1026 is 9
LCM of denominators i.e. for 970,784 is 380240.
Thus, GCF of Fractions is 9/380240.Finally, GCF of Fractions for 9009/970, 1026/784 is 9/380240.