GCF of 9111/784, 5049/9936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9111/784, 5049/9936 i.e 3/486864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9111/784, 5049/9936.
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 9111/784,5049/9936?
Given fractions are 9111/784,5049/9936
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 9111/784,5049/9936, numerators are 9111,5049
Denominators are 784,9936
The GCF of 9111,5049 is 3 .
LCM of 784,9936 is 486864.
The greatest common factor of 9111/784,5049/9936 = [GCF of 9111,5049]/[LCM of 784,9936]= 3/486864
Therefore, the GCF of 9111/784,5049/9936 is 3/486864.
To find the highest common factor of 9111,5049, we have to find the factors of both numbers and list the highest common factor.
The factors of 9111 are 1, 3, 3037, 9111
The factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
The HCF of 9111,5049 is 3.
Lets's calculate GCF of 9111,5049
| 3 | 9111, 5049 |
| 3037, 1683 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9111,5049 By Matching Biggest Common Factor Method
Now, list down the factors of 9111
:1,3,3037,9111
Now, list down the factors of 5049
:1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049
Greatest Common Factor
We found the factors 9111,5049 . The biggest common factor number is the GCF number.
So the greatest common factor 9111,5049 is 3.
Lets's calculate LCM of 784,9936
| 2 | 784, 9936 |
| 2 | 392, 4968 |
| 2 | 196, 2484 |
| 2 | 98, 1242 |
| 49, 621 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 621 = 486864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/486864
Therefore, the GCF of Fractions 9111/784,5049/9936 is 3/486864
Least Common Multiple of 784,9936 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 784,9936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,9936) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(784,9936) x common factors =16 x 1 = 16
LCM(784,9936) = ( 784 × 9936 ) / 16
LCM(784,9936) = 7789824 / 16
LCM(784,9936) = 486864
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FAQs on GCF of Fractions of 9111/784, 5049/9936
1. What is the HCF of 9111,5049?
The HCF of 9111,5049 is 3
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 9111/784, 5049/9936?
Answer: GCF of Numerators as per given numbers 9111/784, 5049/9936 is
GCF of Numerators i.e. for 9111,5049 is 3
LCM of denominators i.e. for 784,9936 is 486864.
Thus, GCF of Fractions is 3/486864.Finally, GCF of Fractions for 9111/784, 5049/9936 is 3/486864.