GCF of 495/599, 5673/6256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 495/599, 5673/6256 i.e 3/3747344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 495/599, 5673/6256.
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 495/599,5673/6256?
Given fractions are 495/599,5673/6256
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 495/599,5673/6256, numerators are 495,5673
Denominators are 599,6256
The GCF of 495,5673 is 3 .
LCM of 599,6256 is 3747344.
The greatest common factor of 495/599,5673/6256 = [GCF of 495,5673]/[LCM of 599,6256]= 3/3747344
Therefore, the GCF of 495/599,5673/6256 is 3/3747344.
To find the highest common factor of 495,5673, we have to find the factors of both numbers and list the highest common factor.
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The factors of 5673 are 1, 3, 31, 61, 93, 183, 1891, 5673
The HCF of 495,5673 is 3.
Lets's calculate GCF of 495,5673
| 3 | 495, 5673 |
| 165, 1891 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 495,5673 By Matching Biggest Common Factor Method
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Now, list down the factors of 5673
:1,3,31,61,93,183,1891,5673
Greatest Common Factor
We found the factors 495,5673 . The biggest common factor number is the GCF number.
So the greatest common factor 495,5673 is 3.
Lets's calculate LCM of 599,6256
Given numbers has no common factors except 1. So, there LCM is their product i.e 3747344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3747344
Therefore, the GCF of Fractions 495/599,5673/6256 is 3/3747344
Least Common Multiple of 599,6256 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 599,6256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,6256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,6256) x common factors =1 x 1 = 1
LCM(599,6256) = ( 599 × 6256 ) / 1
LCM(599,6256) = 3747344 / 1
LCM(599,6256) = 3747344
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 495/599, 5673/6256
1. What is the HCF of 495,5673?
The HCF of 495,5673 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 495/599, 5673/6256?
Answer: GCF of Numerators as per given numbers 495/599, 5673/6256 is
GCF of Numerators i.e. for 495,5673 is 3
LCM of denominators i.e. for 599,6256 is 3747344.
Thus, GCF of Fractions is 3/3747344.Finally, GCF of Fractions for 495/599, 5673/6256 is 3/3747344.