GCF of 14/583, 539/303, 464/404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/583, 539/303, 464/404 i.e 1/706596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/583, 539/303, 464/404.
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 14/583,539/303,464/404?
Given fractions are 14/583,539/303,464/404
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 14/583,539/303,464/404, numerators are 14,539,464
Denominators are 583,303,404
The GCF of 14,539,464 is 1 .
LCM of 583,303,404 is 706596.
The greatest common factor of 14/583,539/303,464/404 = [GCF of 14,539,464]/[LCM of 583,303,404]= 1/706596
Therefore, the GCF of 14/583,539/303,464/404 is 1/706596.
To find the highest common factor of 14,539,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 14,539,464 is 1.
Lets's calculate GCF of 14,539,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,539,464 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 14,539,464 . The biggest common factor number is the GCF number.
So the greatest common factor 14,539,464 is 1.
Lets's calculate LCM of 583,303,404
| 101 | 583, 303, 404 |
| 583, 3, 4 |
∴ So the LCM of the given numbers is 101 x 583 x 3 x 4 = 706596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/706596
Therefore, the GCF of Fractions 14/583,539/303,464/404 is 1/706596
Least Common Multiple of 583,303,404 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 583,303,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,303,404) = 1
common factors(in case of two or more numbers have common factors) = 101
GCF(583,303,404) x common factors =1 x 101 = 101
LCM(583,303,404) = ( 583 × 303 × 404 ) / 101
LCM(583,303,404) = 71366196 / 101
LCM(583,303,404) = 706596
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FAQs on GCF of Fractions of 14/583, 539/303, 464/404
1. What is the HCF of 14,539,464?
The HCF of 14,539,464 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 14/583, 539/303, 464/404?
Answer: GCF of Numerators as per given numbers 14/583, 539/303, 464/404 is
GCF of Numerators i.e. for 14,539,464 is 1
LCM of denominators i.e. for 583,303,404 is 706596.
Thus, GCF of Fractions is 1/706596.Finally, GCF of Fractions for 14/583, 539/303, 464/404 is 1/706596.