GCF of 4568/382, 5466/2485
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4568/382, 5466/2485 i.e 2/949270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4568/382, 5466/2485.
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 4568/382,5466/2485?
Given fractions are 4568/382,5466/2485
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 4568/382,5466/2485, numerators are 4568,5466
Denominators are 382,2485
The GCF of 4568,5466 is 2 .
LCM of 382,2485 is 949270.
The greatest common factor of 4568/382,5466/2485 = [GCF of 4568,5466]/[LCM of 382,2485]= 2/949270
Therefore, the GCF of 4568/382,5466/2485 is 2/949270.
To find the highest common factor of 4568,5466, we have to find the factors of both numbers and list the highest common factor.
The factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568
The factors of 5466 are 1, 2, 3, 6, 911, 1822, 2733, 5466
The HCF of 4568,5466 is 2.
Lets's calculate GCF of 4568,5466
| 2 | 4568, 5466 |
| 2284, 2733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4568,5466 By Matching Biggest Common Factor Method
Now, list down the factors of 4568
:1,2,4,8,571,1142,2284,4568
Now, list down the factors of 5466
:1,2,3,6,911,1822,2733,5466
Greatest Common Factor
We found the factors 4568,5466 . The biggest common factor number is the GCF number.
So the greatest common factor 4568,5466 is 2.
Lets's calculate LCM of 382,2485
Given numbers has no common factors except 1. So, there LCM is their product i.e 949270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/949270
Therefore, the GCF of Fractions 4568/382,5466/2485 is 2/949270
Least Common Multiple of 382,2485 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 382,2485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,2485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(382,2485) x common factors =1 x 1 = 1
LCM(382,2485) = ( 382 × 2485 ) / 1
LCM(382,2485) = 949270 / 1
LCM(382,2485) = 949270
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4568/382, 5466/2485
1. What is the HCF of 4568,5466?
The HCF of 4568,5466 is 2
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 4568/382, 5466/2485?
Answer: GCF of Numerators as per given numbers 4568/382, 5466/2485 is
GCF of Numerators i.e. for 4568,5466 is 2
LCM of denominators i.e. for 382,2485 is 949270.
Thus, GCF of Fractions is 2/949270.Finally, GCF of Fractions for 4568/382, 5466/2485 is 2/949270.