GCF of 5617/121, 2017/163
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5617/121, 2017/163 i.e 1/19723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5617/121, 2017/163.
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 5617/121,2017/163?
Given fractions are 5617/121,2017/163
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 5617/121,2017/163, numerators are 5617,2017
Denominators are 121,163
The GCF of 5617,2017 is 1 .
LCM of 121,163 is 19723.
The greatest common factor of 5617/121,2017/163 = [GCF of 5617,2017]/[LCM of 121,163]= 1/19723
Therefore, the GCF of 5617/121,2017/163 is 1/19723.
To find the highest common factor of 5617,2017, we have to find the factors of both numbers and list the highest common factor.
The factors of 5617 are 1, 41, 137, 5617
The factors of 2017 are 1, 2017
The HCF of 5617,2017 is 1.
Lets's calculate GCF of 5617,2017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5617,2017 By Matching Biggest Common Factor Method
Now, list down the factors of 5617
:1,41,137,5617
Now, list down the factors of 2017
:1,2017
Greatest Common Factor
We found the factors 5617,2017 . The biggest common factor number is the GCF number.
So the greatest common factor 5617,2017 is 1.
Lets's calculate LCM of 121,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 19723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19723
Therefore, the GCF of Fractions 5617/121,2017/163 is 1/19723
Least Common Multiple of 121,163 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 121,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,163) x common factors =1 x 1 = 1
LCM(121,163) = ( 121 × 163 ) / 1
LCM(121,163) = 19723 / 1
LCM(121,163) = 19723
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FAQs on GCF of Fractions of 5617/121, 2017/163
1. What is the HCF of 5617,2017?
The HCF of 5617,2017 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 5617/121, 2017/163?
Answer: GCF of Numerators as per given numbers 5617/121, 2017/163 is
GCF of Numerators i.e. for 5617,2017 is 1
LCM of denominators i.e. for 121,163 is 19723.
Thus, GCF of Fractions is 1/19723.Finally, GCF of Fractions for 5617/121, 2017/163 is 1/19723.