GCF of 161/67, 617/1471
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 161/67, 617/1471 i.e 1/98557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/67, 617/1471.
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 161/67,617/1471?
Given fractions are 161/67,617/1471
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 161/67,617/1471, numerators are 161,617
Denominators are 67,1471
The GCF of 161,617 is 1 .
LCM of 67,1471 is 98557.
The greatest common factor of 161/67,617/1471 = [GCF of 161,617]/[LCM of 67,1471]= 1/98557
Therefore, the GCF of 161/67,617/1471 is 1/98557.
To find the highest common factor of 161,617, we have to find the factors of both numbers and list the highest common factor.
The factors of 161 are 1, 7, 23, 161
The factors of 617 are 1, 617
The HCF of 161,617 is 1.
Lets's calculate GCF of 161,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 161,617 By Matching Biggest Common Factor Method
Now, list down the factors of 161
:1,7,23,161
Now, list down the factors of 617
:1,617
Greatest Common Factor
We found the factors 161,617 . The biggest common factor number is the GCF number.
So the greatest common factor 161,617 is 1.
Lets's calculate LCM of 67,1471
Given numbers has no common factors except 1. So, there LCM is their product i.e 98557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/98557
Therefore, the GCF of Fractions 161/67,617/1471 is 1/98557
Least Common Multiple of 67,1471 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 67,1471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,1471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,1471) x common factors =1 x 1 = 1
LCM(67,1471) = ( 67 × 1471 ) / 1
LCM(67,1471) = 98557 / 1
LCM(67,1471) = 98557
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 161/67, 617/1471
1. What is the HCF of 161,617?
The HCF of 161,617 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 161/67, 617/1471?
Answer: GCF of Numerators as per given numbers 161/67, 617/1471 is
GCF of Numerators i.e. for 161,617 is 1
LCM of denominators i.e. for 67,1471 is 98557.
Thus, GCF of Fractions is 1/98557.Finally, GCF of Fractions for 161/67, 617/1471 is 1/98557.