GCF of 2673/529, 1709/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2673/529, 1709/449 i.e 1/237521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2673/529, 1709/449.
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 2673/529,1709/449?
Given fractions are 2673/529,1709/449
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 2673/529,1709/449, numerators are 2673,1709
Denominators are 529,449
The GCF of 2673,1709 is 1 .
LCM of 529,449 is 237521.
The greatest common factor of 2673/529,1709/449 = [GCF of 2673,1709]/[LCM of 529,449]= 1/237521
Therefore, the GCF of 2673/529,1709/449 is 1/237521.
To find the highest common factor of 2673,1709, we have to find the factors of both numbers and list the highest common factor.
The factors of 2673 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 891, 2673
The factors of 1709 are 1, 1709
The HCF of 2673,1709 is 1.
Lets's calculate GCF of 2673,1709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2673,1709 By Matching Biggest Common Factor Method
Now, list down the factors of 2673
:1,3,9,11,27,33,81,99,243,297,891,2673
Now, list down the factors of 1709
:1,1709
Greatest Common Factor
We found the factors 2673,1709 . The biggest common factor number is the GCF number.
So the greatest common factor 2673,1709 is 1.
Lets's calculate LCM of 529,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 237521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237521
Therefore, the GCF of Fractions 2673/529,1709/449 is 1/237521
Least Common Multiple of 529,449 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 529,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,449) x common factors =1 x 1 = 1
LCM(529,449) = ( 529 × 449 ) / 1
LCM(529,449) = 237521 / 1
LCM(529,449) = 237521
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2673/529, 1709/449
1. What is the HCF of 2673,1709?
The HCF of 2673,1709 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 2673/529, 1709/449?
Answer: GCF of Numerators as per given numbers 2673/529, 1709/449 is
GCF of Numerators i.e. for 2673,1709 is 1
LCM of denominators i.e. for 529,449 is 237521.
Thus, GCF of Fractions is 1/237521.Finally, GCF of Fractions for 2673/529, 1709/449 is 1/237521.