GCF of 301/46, 170/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 301/46, 170/259 i.e 1/11914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/46, 170/259.
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 301/46,170/259?
Given fractions are 301/46,170/259
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 301/46,170/259, numerators are 301,170
Denominators are 46,259
The GCF of 301,170 is 1 .
LCM of 46,259 is 11914.
The greatest common factor of 301/46,170/259 = [GCF of 301,170]/[LCM of 46,259]= 1/11914
Therefore, the GCF of 301/46,170/259 is 1/11914.
To find the highest common factor of 301,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 301,170 is 1.
Lets's calculate GCF of 301,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 301,170 By Matching Biggest Common Factor Method
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 301,170 . The biggest common factor number is the GCF number.
So the greatest common factor 301,170 is 1.
Lets's calculate LCM of 46,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 11914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11914
Therefore, the GCF of Fractions 301/46,170/259 is 1/11914
Least Common Multiple of 46,259 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 46,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,259) x common factors =1 x 1 = 1
LCM(46,259) = ( 46 × 259 ) / 1
LCM(46,259) = 11914 / 1
LCM(46,259) = 11914
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 301/46, 170/259
1. What is the HCF of 301,170?
The HCF of 301,170 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 301/46, 170/259?
Answer: GCF of Numerators as per given numbers 301/46, 170/259 is
GCF of Numerators i.e. for 301,170 is 1
LCM of denominators i.e. for 46,259 is 11914.
Thus, GCF of Fractions is 1/11914.Finally, GCF of Fractions for 301/46, 170/259 is 1/11914.