GCF of 1/11, 227/19, 170/97
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1/11, 227/19, 170/97 i.e 1/20273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/11, 227/19, 170/97.
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 1/11,227/19,170/97?
Given fractions are 1/11,227/19,170/97
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 1/11,227/19,170/97, numerators are 1,227,170
Denominators are 11,19,97
The GCF of 1,227,170 is 1 .
LCM of 11,19,97 is 20273.
The greatest common factor of 1/11,227/19,170/97 = [GCF of 1,227,170]/[LCM of 11,19,97]= 1/20273
Therefore, the GCF of 1/11,227/19,170/97 is 1/20273.
To find the highest common factor of 1,227,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 1 are 1
The factors of 227 are 1, 227
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 1,227,170 is 1.
Lets's calculate GCF of 1,227,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1,227,170 By Matching Biggest Common Factor Method
Now, list down the factors of 1
:1
Now, list down the factors of 227
:1,227
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 1,227,170 . The biggest common factor number is the GCF number.
So the greatest common factor 1,227,170 is 1.
Lets's calculate LCM of 11,19,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 20273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20273
Therefore, the GCF of Fractions 1/11,227/19,170/97 is 1/20273
Least Common Multiple of 11,19,97 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 11,19,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,19,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,19,97) x common factors =1 x 1 = 1
LCM(11,19,97) = ( 11 × 19 × 97 ) / 1
LCM(11,19,97) = 20273 / 1
LCM(11,19,97) = 20273
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1/11, 227/19, 170/97
1. What is the HCF of 1,227,170?
The HCF of 1,227,170 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 1/11, 227/19, 170/97?
Answer: GCF of Numerators as per given numbers 1/11, 227/19, 170/97 is
GCF of Numerators i.e. for 1,227,170 is 1
LCM of denominators i.e. for 11,19,97 is 20273.
Thus, GCF of Fractions is 1/20273.Finally, GCF of Fractions for 1/11, 227/19, 170/97 is 1/20273.