GCF of 86/13, 81/49, 697/367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/13, 81/49, 697/367 i.e 1/233779 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/13, 81/49, 697/367.
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 86/13,81/49,697/367?
Given fractions are 86/13,81/49,697/367
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 86/13,81/49,697/367, numerators are 86,81,697
Denominators are 13,49,367
The GCF of 86,81,697 is 1 .
LCM of 13,49,367 is 233779.
The greatest common factor of 86/13,81/49,697/367 = [GCF of 86,81,697]/[LCM of 13,49,367]= 1/233779
Therefore, the GCF of 86/13,81/49,697/367 is 1/233779.
To find the highest common factor of 86,81,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 81 are 1, 3, 9, 27, 81
The factors of 697 are 1, 17, 41, 697
The HCF of 86,81,697 is 1.
Lets's calculate GCF of 86,81,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 86,81,697 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 86,81,697 . The biggest common factor number is the GCF number.
So the greatest common factor 86,81,697 is 1.
Lets's calculate LCM of 13,49,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 233779
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233779
Therefore, the GCF of Fractions 86/13,81/49,697/367 is 1/233779
Least Common Multiple of 13,49,367 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 13,49,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,49,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,49,367) x common factors =1 x 1 = 1
LCM(13,49,367) = ( 13 × 49 × 367 ) / 1
LCM(13,49,367) = 233779 / 1
LCM(13,49,367) = 233779
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FAQs on GCF of Fractions of 86/13, 81/49, 697/367
1. What is the HCF of 86,81,697?
The HCF of 86,81,697 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 86/13, 81/49, 697/367?
Answer: GCF of Numerators as per given numbers 86/13, 81/49, 697/367 is
GCF of Numerators i.e. for 86,81,697 is 1
LCM of denominators i.e. for 13,49,367 is 233779.
Thus, GCF of Fractions is 1/233779.Finally, GCF of Fractions for 86/13, 81/49, 697/367 is 1/233779.