GCF of 8713/171, 1998/5657
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8713/171, 1998/5657 i.e 1/967347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8713/171, 1998/5657.
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 8713/171,1998/5657?
Given fractions are 8713/171,1998/5657
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 8713/171,1998/5657, numerators are 8713,1998
Denominators are 171,5657
The GCF of 8713,1998 is 1 .
LCM of 171,5657 is 967347.
The greatest common factor of 8713/171,1998/5657 = [GCF of 8713,1998]/[LCM of 171,5657]= 1/967347
Therefore, the GCF of 8713/171,1998/5657 is 1/967347.
To find the highest common factor of 8713,1998, we have to find the factors of both numbers and list the highest common factor.
The factors of 8713 are 1, 8713
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The HCF of 8713,1998 is 1.
Lets's calculate GCF of 8713,1998
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8713,1998 By Matching Biggest Common Factor Method
Now, list down the factors of 8713
:1,8713
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 8713,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 8713,1998 is 1.
Lets's calculate LCM of 171,5657
Given numbers has no common factors except 1. So, there LCM is their product i.e 967347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/967347
Therefore, the GCF of Fractions 8713/171,1998/5657 is 1/967347
Least Common Multiple of 171,5657 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 171,5657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5657) x common factors =1 x 1 = 1
LCM(171,5657) = ( 171 × 5657 ) / 1
LCM(171,5657) = 967347 / 1
LCM(171,5657) = 967347
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8713/171, 1998/5657
1. What is the HCF of 8713,1998?
The HCF of 8713,1998 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 8713/171, 1998/5657?
Answer: GCF of Numerators as per given numbers 8713/171, 1998/5657 is
GCF of Numerators i.e. for 8713,1998 is 1
LCM of denominators i.e. for 171,5657 is 967347.
Thus, GCF of Fractions is 1/967347.Finally, GCF of Fractions for 8713/171, 1998/5657 is 1/967347.