GCF of 5491/829, 3914/464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5491/829, 3914/464 i.e 19/384656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5491/829, 3914/464.
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 5491/829,3914/464?
Given fractions are 5491/829,3914/464
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 5491/829,3914/464, numerators are 5491,3914
Denominators are 829,464
The GCF of 5491,3914 is 19 .
LCM of 829,464 is 384656.
The greatest common factor of 5491/829,3914/464 = [GCF of 5491,3914]/[LCM of 829,464]= 19/384656
Therefore, the GCF of 5491/829,3914/464 is 19/384656.
To find the highest common factor of 5491,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 5491 are 1, 17, 19, 289, 323, 5491
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 5491,3914 is 19.
Lets's calculate GCF of 5491,3914
| 19 | 5491, 3914 |
| 289, 206 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 5491,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 5491
:1,17,19,289,323,5491
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 5491,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 5491,3914 is 19.
Lets's calculate LCM of 829,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 384656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/384656
Therefore, the GCF of Fractions 5491/829,3914/464 is 19/384656
Least Common Multiple of 829,464 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 829,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,464) x common factors =1 x 1 = 1
LCM(829,464) = ( 829 × 464 ) / 1
LCM(829,464) = 384656 / 1
LCM(829,464) = 384656
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FAQs on GCF of Fractions of 5491/829, 3914/464
1. What is the HCF of 5491,3914?
The HCF of 5491,3914 is 19
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 5491/829, 3914/464?
Answer: GCF of Numerators as per given numbers 5491/829, 3914/464 is
GCF of Numerators i.e. for 5491,3914 is 19
LCM of denominators i.e. for 829,464 is 384656.
Thus, GCF of Fractions is 19/384656.Finally, GCF of Fractions for 5491/829, 3914/464 is 19/384656.