GCF of 9069/81, 5757/834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9069/81, 5757/834 i.e 3/22518 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9069/81, 5757/834.
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 9069/81,5757/834?
Given fractions are 9069/81,5757/834
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 9069/81,5757/834, numerators are 9069,5757
Denominators are 81,834
The GCF of 9069,5757 is 3 .
LCM of 81,834 is 22518.
The greatest common factor of 9069/81,5757/834 = [GCF of 9069,5757]/[LCM of 81,834]= 3/22518
Therefore, the GCF of 9069/81,5757/834 is 3/22518.
To find the highest common factor of 9069,5757, we have to find the factors of both numbers and list the highest common factor.
The factors of 9069 are 1, 3, 3023, 9069
The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757
The HCF of 9069,5757 is 3.
Lets's calculate GCF of 9069,5757
| 3 | 9069, 5757 |
| 3023, 1919 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9069,5757 By Matching Biggest Common Factor Method
Now, list down the factors of 9069
:1,3,3023,9069
Now, list down the factors of 5757
:1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors 9069,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 9069,5757 is 3.
Lets's calculate LCM of 81,834
| 3 | 81, 834 |
| 27, 278 |
∴ So the LCM of the given numbers is 3 x 27 x 278 = 22518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22518
Therefore, the GCF of Fractions 9069/81,5757/834 is 3/22518
Least Common Multiple of 81,834 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 81,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,834) x common factors =3 x 1 = 3
LCM(81,834) = ( 81 × 834 ) / 3
LCM(81,834) = 67554 / 3
LCM(81,834) = 22518
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FAQs on GCF of Fractions of 9069/81, 5757/834
1. What is the HCF of 9069,5757?
The HCF of 9069,5757 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 9069/81, 5757/834?
Answer: GCF of Numerators as per given numbers 9069/81, 5757/834 is
GCF of Numerators i.e. for 9069,5757 is 3
LCM of denominators i.e. for 81,834 is 22518.
Thus, GCF of Fractions is 3/22518.Finally, GCF of Fractions for 9069/81, 5757/834 is 3/22518.