GCF of 9684/171, 2081/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9684/171, 2081/766 i.e 1/130986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9684/171, 2081/766.
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 9684/171,2081/766?
Given fractions are 9684/171,2081/766
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 9684/171,2081/766, numerators are 9684,2081
Denominators are 171,766
The GCF of 9684,2081 is 1 .
LCM of 171,766 is 130986.
The greatest common factor of 9684/171,2081/766 = [GCF of 9684,2081]/[LCM of 171,766]= 1/130986
Therefore, the GCF of 9684/171,2081/766 is 1/130986.
To find the highest common factor of 9684,2081, we have to find the factors of both numbers and list the highest common factor.
The factors of 9684 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 269, 538, 807, 1076, 1614, 2421, 3228, 4842, 9684
The factors of 2081 are 1, 2081
The HCF of 9684,2081 is 1.
Lets's calculate GCF of 9684,2081
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9684,2081 By Matching Biggest Common Factor Method
Now, list down the factors of 9684
:1,2,3,4,6,9,12,18,36,269,538,807,1076,1614,2421,3228,4842,9684
Now, list down the factors of 2081
:1,2081
Greatest Common Factor
We found the factors 9684,2081 . The biggest common factor number is the GCF number.
So the greatest common factor 9684,2081 is 1.
Lets's calculate LCM of 171,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 130986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130986
Therefore, the GCF of Fractions 9684/171,2081/766 is 1/130986
Least Common Multiple of 171,766 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 171,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,766) x common factors =1 x 1 = 1
LCM(171,766) = ( 171 × 766 ) / 1
LCM(171,766) = 130986 / 1
LCM(171,766) = 130986
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FAQs on GCF of Fractions of 9684/171, 2081/766
1. What is the HCF of 9684,2081?
The HCF of 9684,2081 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 9684/171, 2081/766?
Answer: GCF of Numerators as per given numbers 9684/171, 2081/766 is
GCF of Numerators i.e. for 9684,2081 is 1
LCM of denominators i.e. for 171,766 is 130986.
Thus, GCF of Fractions is 1/130986.Finally, GCF of Fractions for 9684/171, 2081/766 is 1/130986.