GCF of 9752/585, 3449/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9752/585, 3449/686 i.e 1/401310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9752/585, 3449/686.
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 9752/585,3449/686?
Given fractions are 9752/585,3449/686
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 9752/585,3449/686, numerators are 9752,3449
Denominators are 585,686
The GCF of 9752,3449 is 1 .
LCM of 585,686 is 401310.
The greatest common factor of 9752/585,3449/686 = [GCF of 9752,3449]/[LCM of 585,686]= 1/401310
Therefore, the GCF of 9752/585,3449/686 is 1/401310.
To find the highest common factor of 9752,3449, we have to find the factors of both numbers and list the highest common factor.
The factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752
The factors of 3449 are 1, 3449
The HCF of 9752,3449 is 1.
Lets's calculate GCF of 9752,3449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9752,3449 By Matching Biggest Common Factor Method
Now, list down the factors of 9752
:1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Now, list down the factors of 3449
:1,3449
Greatest Common Factor
We found the factors 9752,3449 . The biggest common factor number is the GCF number.
So the greatest common factor 9752,3449 is 1.
Lets's calculate LCM of 585,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 401310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401310
Therefore, the GCF of Fractions 9752/585,3449/686 is 1/401310
Least Common Multiple of 585,686 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 585,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,686) x common factors =1 x 1 = 1
LCM(585,686) = ( 585 × 686 ) / 1
LCM(585,686) = 401310 / 1
LCM(585,686) = 401310
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FAQs on GCF of Fractions of 9752/585, 3449/686
1. What is the HCF of 9752,3449?
The HCF of 9752,3449 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 9752/585, 3449/686?
Answer: GCF of Numerators as per given numbers 9752/585, 3449/686 is
GCF of Numerators i.e. for 9752,3449 is 1
LCM of denominators i.e. for 585,686 is 401310.
Thus, GCF of Fractions is 1/401310.Finally, GCF of Fractions for 9752/585, 3449/686 is 1/401310.