GCF of 673/648, 589/403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 673/648, 589/403 i.e 1/261144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 673/648, 589/403.
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 673/648,589/403?
Given fractions are 673/648,589/403
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 673/648,589/403, numerators are 673,589
Denominators are 648,403
The GCF of 673,589 is 1 .
LCM of 648,403 is 261144.
The greatest common factor of 673/648,589/403 = [GCF of 673,589]/[LCM of 648,403]= 1/261144
Therefore, the GCF of 673/648,589/403 is 1/261144.
To find the highest common factor of 673,589, we have to find the factors of both numbers and list the highest common factor.
The factors of 673 are 1, 673
The factors of 589 are 1, 19, 31, 589
The HCF of 673,589 is 1.
Lets's calculate GCF of 673,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 673,589 By Matching Biggest Common Factor Method
Now, list down the factors of 673
:1,673
Now, list down the factors of 589
:1,19,31,589
Greatest Common Factor
We found the factors 673,589 . The biggest common factor number is the GCF number.
So the greatest common factor 673,589 is 1.
Lets's calculate LCM of 648,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 261144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261144
Therefore, the GCF of Fractions 673/648,589/403 is 1/261144
Least Common Multiple of 648,403 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 648,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(648,403) x common factors =1 x 1 = 1
LCM(648,403) = ( 648 × 403 ) / 1
LCM(648,403) = 261144 / 1
LCM(648,403) = 261144
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FAQs on GCF of Fractions of 673/648, 589/403
1. What is the HCF of 673,589?
The HCF of 673,589 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 673/648, 589/403?
Answer: GCF of Numerators as per given numbers 673/648, 589/403 is
GCF of Numerators i.e. for 673,589 is 1
LCM of denominators i.e. for 648,403 is 261144.
Thus, GCF of Fractions is 1/261144.Finally, GCF of Fractions for 673/648, 589/403 is 1/261144.