GCF of 8959/407, 8069/4449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8959/407, 8069/4449 i.e 1/1810743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8959/407, 8069/4449.
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 8959/407,8069/4449?
Given fractions are 8959/407,8069/4449
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 8959/407,8069/4449, numerators are 8959,8069
Denominators are 407,4449
The GCF of 8959,8069 is 1 .
LCM of 407,4449 is 1810743.
The greatest common factor of 8959/407,8069/4449 = [GCF of 8959,8069]/[LCM of 407,4449]= 1/1810743
Therefore, the GCF of 8959/407,8069/4449 is 1/1810743.
To find the highest common factor of 8959,8069, we have to find the factors of both numbers and list the highest common factor.
The factors of 8959 are 1, 17, 31, 289, 527, 8959
The factors of 8069 are 1, 8069
The HCF of 8959,8069 is 1.
Lets's calculate GCF of 8959,8069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8959,8069 By Matching Biggest Common Factor Method
Now, list down the factors of 8959
:1,17,31,289,527,8959
Now, list down the factors of 8069
:1,8069
Greatest Common Factor
We found the factors 8959,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 8959,8069 is 1.
Lets's calculate LCM of 407,4449
Given numbers has no common factors except 1. So, there LCM is their product i.e 1810743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1810743
Therefore, the GCF of Fractions 8959/407,8069/4449 is 1/1810743
Least Common Multiple of 407,4449 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 407,4449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,4449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,4449) x common factors =1 x 1 = 1
LCM(407,4449) = ( 407 × 4449 ) / 1
LCM(407,4449) = 1810743 / 1
LCM(407,4449) = 1810743
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FAQs on GCF of Fractions of 8959/407, 8069/4449
1. What is the HCF of 8959,8069?
The HCF of 8959,8069 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 8959/407, 8069/4449?
Answer: GCF of Numerators as per given numbers 8959/407, 8069/4449 is
GCF of Numerators i.e. for 8959,8069 is 1
LCM of denominators i.e. for 407,4449 is 1810743.
Thus, GCF of Fractions is 1/1810743.Finally, GCF of Fractions for 8959/407, 8069/4449 is 1/1810743.