GCF of 4404/182, 3727/9645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4404/182, 3727/9645 i.e 1/1755390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4404/182, 3727/9645.
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 4404/182,3727/9645?
Given fractions are 4404/182,3727/9645
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 4404/182,3727/9645, numerators are 4404,3727
Denominators are 182,9645
The GCF of 4404,3727 is 1 .
LCM of 182,9645 is 1755390.
The greatest common factor of 4404/182,3727/9645 = [GCF of 4404,3727]/[LCM of 182,9645]= 1/1755390
Therefore, the GCF of 4404/182,3727/9645 is 1/1755390.
To find the highest common factor of 4404,3727, we have to find the factors of both numbers and list the highest common factor.
The factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404
The factors of 3727 are 1, 3727
The HCF of 4404,3727 is 1.
Lets's calculate GCF of 4404,3727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4404,3727 By Matching Biggest Common Factor Method
Now, list down the factors of 4404
:1,2,3,4,6,12,367,734,1101,1468,2202,4404
Now, list down the factors of 3727
:1,3727
Greatest Common Factor
We found the factors 4404,3727 . The biggest common factor number is the GCF number.
So the greatest common factor 4404,3727 is 1.
Lets's calculate LCM of 182,9645
Given numbers has no common factors except 1. So, there LCM is their product i.e 1755390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1755390
Therefore, the GCF of Fractions 4404/182,3727/9645 is 1/1755390
Least Common Multiple of 182,9645 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 182,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,9645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(182,9645) x common factors =1 x 1 = 1
LCM(182,9645) = ( 182 × 9645 ) / 1
LCM(182,9645) = 1755390 / 1
LCM(182,9645) = 1755390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4404/182, 3727/9645
1. What is the HCF of 4404,3727?
The HCF of 4404,3727 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 4404/182, 3727/9645?
Answer: GCF of Numerators as per given numbers 4404/182, 3727/9645 is
GCF of Numerators i.e. for 4404,3727 is 1
LCM of denominators i.e. for 182,9645 is 1755390.
Thus, GCF of Fractions is 1/1755390.Finally, GCF of Fractions for 4404/182, 3727/9645 is 1/1755390.