GCF of 494/445, 3663/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 494/445, 3663/878 i.e 1/390710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/445, 3663/878.
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 494/445,3663/878?
Given fractions are 494/445,3663/878
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 494/445,3663/878, numerators are 494,3663
Denominators are 445,878
The GCF of 494,3663 is 1 .
LCM of 445,878 is 390710.
The greatest common factor of 494/445,3663/878 = [GCF of 494,3663]/[LCM of 445,878]= 1/390710
Therefore, the GCF of 494/445,3663/878 is 1/390710.
To find the highest common factor of 494,3663, we have to find the factors of both numbers and list the highest common factor.
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The HCF of 494,3663 is 1.
Lets's calculate GCF of 494,3663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 494,3663 By Matching Biggest Common Factor Method
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors 494,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 494,3663 is 1.
Lets's calculate LCM of 445,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 390710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390710
Therefore, the GCF of Fractions 494/445,3663/878 is 1/390710
Least Common Multiple of 445,878 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 445,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(445,878) x common factors =1 x 1 = 1
LCM(445,878) = ( 445 × 878 ) / 1
LCM(445,878) = 390710 / 1
LCM(445,878) = 390710
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 494/445, 3663/878
1. What is the HCF of 494,3663?
The HCF of 494,3663 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 494/445, 3663/878?
Answer: GCF of Numerators as per given numbers 494/445, 3663/878 is
GCF of Numerators i.e. for 494,3663 is 1
LCM of denominators i.e. for 445,878 is 390710.
Thus, GCF of Fractions is 1/390710.Finally, GCF of Fractions for 494/445, 3663/878 is 1/390710.