GCF of 8521/131, 3394/2631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8521/131, 3394/2631 i.e 1/344661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8521/131, 3394/2631.
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 8521/131,3394/2631?
Given fractions are 8521/131,3394/2631
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 8521/131,3394/2631, numerators are 8521,3394
Denominators are 131,2631
The GCF of 8521,3394 is 1 .
LCM of 131,2631 is 344661.
The greatest common factor of 8521/131,3394/2631 = [GCF of 8521,3394]/[LCM of 131,2631]= 1/344661
Therefore, the GCF of 8521/131,3394/2631 is 1/344661.
To find the highest common factor of 8521,3394, we have to find the factors of both numbers and list the highest common factor.
The factors of 8521 are 1, 8521
The factors of 3394 are 1, 2, 1697, 3394
The HCF of 8521,3394 is 1.
Lets's calculate GCF of 8521,3394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8521,3394 By Matching Biggest Common Factor Method
Now, list down the factors of 8521
:1,8521
Now, list down the factors of 3394
:1,2,1697,3394
Greatest Common Factor
We found the factors 8521,3394 . The biggest common factor number is the GCF number.
So the greatest common factor 8521,3394 is 1.
Lets's calculate LCM of 131,2631
Given numbers has no common factors except 1. So, there LCM is their product i.e 344661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344661
Therefore, the GCF of Fractions 8521/131,3394/2631 is 1/344661
Least Common Multiple of 131,2631 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 131,2631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,2631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,2631) x common factors =1 x 1 = 1
LCM(131,2631) = ( 131 × 2631 ) / 1
LCM(131,2631) = 344661 / 1
LCM(131,2631) = 344661
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FAQs on GCF of Fractions of 8521/131, 3394/2631
1. What is the HCF of 8521,3394?
The HCF of 8521,3394 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 8521/131, 3394/2631?
Answer: GCF of Numerators as per given numbers 8521/131, 3394/2631 is
GCF of Numerators i.e. for 8521,3394 is 1
LCM of denominators i.e. for 131,2631 is 344661.
Thus, GCF of Fractions is 1/344661.Finally, GCF of Fractions for 8521/131, 3394/2631 is 1/344661.