GCF of 9964/389, 8671/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9964/389, 8671/417 i.e 1/162213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9964/389, 8671/417.
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 9964/389,8671/417?
Given fractions are 9964/389,8671/417
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 9964/389,8671/417, numerators are 9964,8671
Denominators are 389,417
The GCF of 9964,8671 is 1 .
LCM of 389,417 is 162213.
The greatest common factor of 9964/389,8671/417 = [GCF of 9964,8671]/[LCM of 389,417]= 1/162213
Therefore, the GCF of 9964/389,8671/417 is 1/162213.
To find the highest common factor of 9964,8671, we have to find the factors of both numbers and list the highest common factor.
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
The factors of 8671 are 1, 13, 23, 29, 299, 377, 667, 8671
The HCF of 9964,8671 is 1.
Lets's calculate GCF of 9964,8671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9964,8671 By Matching Biggest Common Factor Method
Now, list down the factors of 9964
:1,2,4,47,53,94,106,188,212,2491,4982,9964
Now, list down the factors of 8671
:1,13,23,29,299,377,667,8671
Greatest Common Factor
We found the factors 9964,8671 . The biggest common factor number is the GCF number.
So the greatest common factor 9964,8671 is 1.
Lets's calculate LCM of 389,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 162213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162213
Therefore, the GCF of Fractions 9964/389,8671/417 is 1/162213
Least Common Multiple of 389,417 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 389,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,417) x common factors =1 x 1 = 1
LCM(389,417) = ( 389 × 417 ) / 1
LCM(389,417) = 162213 / 1
LCM(389,417) = 162213
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FAQs on GCF of Fractions of 9964/389, 8671/417
1. What is the HCF of 9964,8671?
The HCF of 9964,8671 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 9964/389, 8671/417?
Answer: GCF of Numerators as per given numbers 9964/389, 8671/417 is
GCF of Numerators i.e. for 9964,8671 is 1
LCM of denominators i.e. for 389,417 is 162213.
Thus, GCF of Fractions is 1/162213.Finally, GCF of Fractions for 9964/389, 8671/417 is 1/162213.