GCF of 286/14, 697/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 286/14, 697/461 i.e 1/6454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 286/14, 697/461.
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 286/14,697/461?
Given fractions are 286/14,697/461
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 286/14,697/461, numerators are 286,697
Denominators are 14,461
The GCF of 286,697 is 1 .
LCM of 14,461 is 6454.
The greatest common factor of 286/14,697/461 = [GCF of 286,697]/[LCM of 14,461]= 1/6454
Therefore, the GCF of 286/14,697/461 is 1/6454.
To find the highest common factor of 286,697, we have to find the factors of both numbers and list the highest common factor.
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The factors of 697 are 1, 17, 41, 697
The HCF of 286,697 is 1.
Lets's calculate GCF of 286,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 286,697 By Matching Biggest Common Factor Method
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Now, list down the factors of 697
:1,17,41,697
Greatest Common Factor
We found the factors 286,697 . The biggest common factor number is the GCF number.
So the greatest common factor 286,697 is 1.
Lets's calculate LCM of 14,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 6454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6454
Therefore, the GCF of Fractions 286/14,697/461 is 1/6454
Least Common Multiple of 14,461 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 14,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,461) x common factors =1 x 1 = 1
LCM(14,461) = ( 14 × 461 ) / 1
LCM(14,461) = 6454 / 1
LCM(14,461) = 6454
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FAQs on GCF of Fractions of 286/14, 697/461
1. What is the HCF of 286,697?
The HCF of 286,697 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 286/14, 697/461?
Answer: GCF of Numerators as per given numbers 286/14, 697/461 is
GCF of Numerators i.e. for 286,697 is 1
LCM of denominators i.e. for 14,461 is 6454.
Thus, GCF of Fractions is 1/6454.Finally, GCF of Fractions for 286/14, 697/461 is 1/6454.