GCF of 163/42, 409/1661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 163/42, 409/1661 i.e 1/69762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 163/42, 409/1661.
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 163/42,409/1661?
Given fractions are 163/42,409/1661
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 163/42,409/1661, numerators are 163,409
Denominators are 42,1661
The GCF of 163,409 is 1 .
LCM of 42,1661 is 69762.
The greatest common factor of 163/42,409/1661 = [GCF of 163,409]/[LCM of 42,1661]= 1/69762
Therefore, the GCF of 163/42,409/1661 is 1/69762.
To find the highest common factor of 163,409, we have to find the factors of both numbers and list the highest common factor.
The factors of 163 are 1, 163
The factors of 409 are 1, 409
The HCF of 163,409 is 1.
Lets's calculate GCF of 163,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 163,409 By Matching Biggest Common Factor Method
Now, list down the factors of 163
:1,163
Now, list down the factors of 409
:1,409
Greatest Common Factor
We found the factors 163,409 . The biggest common factor number is the GCF number.
So the greatest common factor 163,409 is 1.
Lets's calculate LCM of 42,1661
Given numbers has no common factors except 1. So, there LCM is their product i.e 69762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69762
Therefore, the GCF of Fractions 163/42,409/1661 is 1/69762
Least Common Multiple of 42,1661 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 42,1661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,1661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,1661) x common factors =1 x 1 = 1
LCM(42,1661) = ( 42 × 1661 ) / 1
LCM(42,1661) = 69762 / 1
LCM(42,1661) = 69762
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 163/42, 409/1661
1. What is the HCF of 163,409?
The HCF of 163,409 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 163/42, 409/1661?
Answer: GCF of Numerators as per given numbers 163/42, 409/1661 is
GCF of Numerators i.e. for 163,409 is 1
LCM of denominators i.e. for 42,1661 is 69762.
Thus, GCF of Fractions is 1/69762.Finally, GCF of Fractions for 163/42, 409/1661 is 1/69762.