GCF of 17/347, 82/312, 393/563
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 17/347, 82/312, 393/563 i.e 1/60952632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/347, 82/312, 393/563.
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 17/347,82/312,393/563?
Given fractions are 17/347,82/312,393/563
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 17/347,82/312,393/563, numerators are 17,82,393
Denominators are 347,312,563
The GCF of 17,82,393 is 1 .
LCM of 347,312,563 is 60952632.
The greatest common factor of 17/347,82/312,393/563 = [GCF of 17,82,393]/[LCM of 347,312,563]= 1/60952632
Therefore, the GCF of 17/347,82/312,393/563 is 1/60952632.
To find the highest common factor of 17,82,393, we have to find the factors of both numbers and list the highest common factor.
The factors of 17 are 1, 17
The factors of 82 are 1, 2, 41, 82
The factors of 393 are 1, 3, 131, 393
The HCF of 17,82,393 is 1.
Lets's calculate GCF of 17,82,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 17,82,393 By Matching Biggest Common Factor Method
Now, list down the factors of 17
:1,17
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 393
:1,3,131,393
Greatest Common Factor
We found the factors 17,82,393 . The biggest common factor number is the GCF number.
So the greatest common factor 17,82,393 is 1.
Lets's calculate LCM of 347,312,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 60952632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60952632
Therefore, the GCF of Fractions 17/347,82/312,393/563 is 1/60952632
Least Common Multiple of 347,312,563 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 347,312,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,312,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,312,563) x common factors =1 x 1 = 1
LCM(347,312,563) = ( 347 × 312 × 563 ) / 1
LCM(347,312,563) = 60952632 / 1
LCM(347,312,563) = 60952632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 17/347, 82/312, 393/563
1. What is the HCF of 17,82,393?
The HCF of 17,82,393 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 17/347, 82/312, 393/563?
Answer: GCF of Numerators as per given numbers 17/347, 82/312, 393/563 is
GCF of Numerators i.e. for 17,82,393 is 1
LCM of denominators i.e. for 347,312,563 is 60952632.
Thus, GCF of Fractions is 1/60952632.Finally, GCF of Fractions for 17/347, 82/312, 393/563 is 1/60952632.