GCF of 4149/721, 8605/1644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4149/721, 8605/1644 i.e 1/1185324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4149/721, 8605/1644.
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 4149/721,8605/1644?
Given fractions are 4149/721,8605/1644
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 4149/721,8605/1644, numerators are 4149,8605
Denominators are 721,1644
The GCF of 4149,8605 is 1 .
LCM of 721,1644 is 1185324.
The greatest common factor of 4149/721,8605/1644 = [GCF of 4149,8605]/[LCM of 721,1644]= 1/1185324
Therefore, the GCF of 4149/721,8605/1644 is 1/1185324.
To find the highest common factor of 4149,8605, we have to find the factors of both numbers and list the highest common factor.
The factors of 4149 are 1, 3, 9, 461, 1383, 4149
The factors of 8605 are 1, 5, 1721, 8605
The HCF of 4149,8605 is 1.
Lets's calculate GCF of 4149,8605
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4149,8605 By Matching Biggest Common Factor Method
Now, list down the factors of 4149
:1,3,9,461,1383,4149
Now, list down the factors of 8605
:1,5,1721,8605
Greatest Common Factor
We found the factors 4149,8605 . The biggest common factor number is the GCF number.
So the greatest common factor 4149,8605 is 1.
Lets's calculate LCM of 721,1644
Given numbers has no common factors except 1. So, there LCM is their product i.e 1185324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1185324
Therefore, the GCF of Fractions 4149/721,8605/1644 is 1/1185324
Least Common Multiple of 721,1644 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 721,1644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,1644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,1644) x common factors =1 x 1 = 1
LCM(721,1644) = ( 721 × 1644 ) / 1
LCM(721,1644) = 1185324 / 1
LCM(721,1644) = 1185324
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4149/721, 8605/1644
1. What is the HCF of 4149,8605?
The HCF of 4149,8605 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 4149/721, 8605/1644?
Answer: GCF of Numerators as per given numbers 4149/721, 8605/1644 is
GCF of Numerators i.e. for 4149,8605 is 1
LCM of denominators i.e. for 721,1644 is 1185324.
Thus, GCF of Fractions is 1/1185324.Finally, GCF of Fractions for 4149/721, 8605/1644 is 1/1185324.