GCF of 3809/567, 6649/9233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3809/567, 6649/9233 i.e 1/747873 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3809/567, 6649/9233.
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 3809/567,6649/9233?
Given fractions are 3809/567,6649/9233
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 3809/567,6649/9233, numerators are 3809,6649
Denominators are 567,9233
The GCF of 3809,6649 is 1 .
LCM of 567,9233 is 747873.
The greatest common factor of 3809/567,6649/9233 = [GCF of 3809,6649]/[LCM of 567,9233]= 1/747873
Therefore, the GCF of 3809/567,6649/9233 is 1/747873.
To find the highest common factor of 3809,6649, we have to find the factors of both numbers and list the highest common factor.
The factors of 3809 are 1, 13, 293, 3809
The factors of 6649 are 1, 61, 109, 6649
The HCF of 3809,6649 is 1.
Lets's calculate GCF of 3809,6649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3809,6649 By Matching Biggest Common Factor Method
Now, list down the factors of 3809
:1,13,293,3809
Now, list down the factors of 6649
:1,61,109,6649
Greatest Common Factor
We found the factors 3809,6649 . The biggest common factor number is the GCF number.
So the greatest common factor 3809,6649 is 1.
Lets's calculate LCM of 567,9233
| 7 | 567, 9233 |
| 81, 1319 |
∴ So the LCM of the given numbers is 7 x 81 x 1319 = 747873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/747873
Therefore, the GCF of Fractions 3809/567,6649/9233 is 1/747873
Least Common Multiple of 567,9233 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 567,9233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,9233) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(567,9233) x common factors =7 x 1 = 7
LCM(567,9233) = ( 567 × 9233 ) / 7
LCM(567,9233) = 5235111 / 7
LCM(567,9233) = 747873
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FAQs on GCF of Fractions of 3809/567, 6649/9233
1. What is the HCF of 3809,6649?
The HCF of 3809,6649 is 1
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 3809/567, 6649/9233?
Answer: GCF of Numerators as per given numbers 3809/567, 6649/9233 is
GCF of Numerators i.e. for 3809,6649 is 1
LCM of denominators i.e. for 567,9233 is 747873.
Thus, GCF of Fractions is 1/747873.Finally, GCF of Fractions for 3809/567, 6649/9233 is 1/747873.