GCF of 3306/577, 4764/9809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3306/577, 4764/9809 i.e 6/9809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3306/577, 4764/9809.
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 3306/577,4764/9809?
Given fractions are 3306/577,4764/9809
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 3306/577,4764/9809, numerators are 3306,4764
Denominators are 577,9809
The GCF of 3306,4764 is 6 .
LCM of 577,9809 is 9809.
The greatest common factor of 3306/577,4764/9809 = [GCF of 3306,4764]/[LCM of 577,9809]= 6/9809
Therefore, the GCF of 3306/577,4764/9809 is 6/9809.
To find the highest common factor of 3306,4764, we have to find the factors of both numbers and list the highest common factor.
The factors of 3306 are 1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 551, 1102, 1653, 3306
The factors of 4764 are 1, 2, 3, 4, 6, 12, 397, 794, 1191, 1588, 2382, 4764
The HCF of 3306,4764 is 6.
Lets's calculate GCF of 3306,4764
| 2 | 3306, 4764 |
| 3 | 1653, 2382 |
| 551, 794 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3306,4764 By Matching Biggest Common Factor Method
Now, list down the factors of 3306
:1,2,3,6,19,29,38,57,58,87,114,174,551,1102,1653,3306
Now, list down the factors of 4764
:1,2,3,4,6,12,397,794,1191,1588,2382,4764
Greatest Common Factor
We found the factors 3306,4764 . The biggest common factor number is the GCF number.
So the greatest common factor 3306,4764 is 6.
Lets's calculate LCM of 577,9809
| 577 | 577, 9809 |
| 1, 17 |
∴ So the LCM of the given numbers is 577 x 1 x 17 = 9809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9809
Therefore, the GCF of Fractions 3306/577,4764/9809 is 6/9809
Least Common Multiple of 577,9809 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 577,9809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,9809) = 577
common factors(in case of two or more numbers have common factors) = 1
GCF(577,9809) x common factors =577 x 1 = 577
LCM(577,9809) = ( 577 × 9809 ) / 577
LCM(577,9809) = 5659793 / 577
LCM(577,9809) = 9809
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FAQs on GCF of Fractions of 3306/577, 4764/9809
1. What is the HCF of 3306,4764?
The HCF of 3306,4764 is 6
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 3306/577, 4764/9809?
Answer: GCF of Numerators as per given numbers 3306/577, 4764/9809 is
GCF of Numerators i.e. for 3306,4764 is 6
LCM of denominators i.e. for 577,9809 is 9809.
Thus, GCF of Fractions is 6/9809.Finally, GCF of Fractions for 3306/577, 4764/9809 is 6/9809.