GCF of 568/13, 697/80, 343/79
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 568/13, 697/80, 343/79 i.e 1/82160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 568/13, 697/80, 343/79.
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 568/13,697/80,343/79?
Given fractions are 568/13,697/80,343/79
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 568/13,697/80,343/79, numerators are 568,697,343
Denominators are 13,80,79
The GCF of 568,697,343 is 1 .
LCM of 13,80,79 is 82160.
The greatest common factor of 568/13,697/80,343/79 = [GCF of 568,697,343]/[LCM of 13,80,79]= 1/82160
Therefore, the GCF of 568/13,697/80,343/79 is 1/82160.
To find the highest common factor of 568,697,343, we have to find the factors of both numbers and list the highest common factor.
The factors of 568 are 1, 2, 4, 8, 71, 142, 284, 568
The factors of 697 are 1, 17, 41, 697
The factors of 343 are 1, 7, 49, 343
The HCF of 568,697,343 is 1.
Lets's calculate GCF of 568,697,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 568,697,343 By Matching Biggest Common Factor Method
Now, list down the factors of 568
:1,2,4,8,71,142,284,568
Now, list down the factors of 697
:1,17,41,697
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 568,697,343 . The biggest common factor number is the GCF number.
So the greatest common factor 568,697,343 is 1.
Lets's calculate LCM of 13,80,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 82160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82160
Therefore, the GCF of Fractions 568/13,697/80,343/79 is 1/82160
Least Common Multiple of 13,80,79 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 13,80,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,80,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,80,79) x common factors =1 x 1 = 1
LCM(13,80,79) = ( 13 × 80 × 79 ) / 1
LCM(13,80,79) = 82160 / 1
LCM(13,80,79) = 82160
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FAQs on GCF of Fractions of 568/13, 697/80, 343/79
1. What is the HCF of 568,697,343?
The HCF of 568,697,343 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 568/13, 697/80, 343/79?
Answer: GCF of Numerators as per given numbers 568/13, 697/80, 343/79 is
GCF of Numerators i.e. for 568,697,343 is 1
LCM of denominators i.e. for 13,80,79 is 82160.
Thus, GCF of Fractions is 1/82160.Finally, GCF of Fractions for 568/13, 697/80, 343/79 is 1/82160.