GCF of 4689/349, 2815/3936
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4689/349, 2815/3936 i.e 1/1373664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4689/349, 2815/3936.
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 4689/349,2815/3936?
Given fractions are 4689/349,2815/3936
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 4689/349,2815/3936, numerators are 4689,2815
Denominators are 349,3936
The GCF of 4689,2815 is 1 .
LCM of 349,3936 is 1373664.
The greatest common factor of 4689/349,2815/3936 = [GCF of 4689,2815]/[LCM of 349,3936]= 1/1373664
Therefore, the GCF of 4689/349,2815/3936 is 1/1373664.
To find the highest common factor of 4689,2815, we have to find the factors of both numbers and list the highest common factor.
The factors of 4689 are 1, 3, 9, 521, 1563, 4689
The factors of 2815 are 1, 5, 563, 2815
The HCF of 4689,2815 is 1.
Lets's calculate GCF of 4689,2815
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4689,2815 By Matching Biggest Common Factor Method
Now, list down the factors of 4689
:1,3,9,521,1563,4689
Now, list down the factors of 2815
:1,5,563,2815
Greatest Common Factor
We found the factors 4689,2815 . The biggest common factor number is the GCF number.
So the greatest common factor 4689,2815 is 1.
Lets's calculate LCM of 349,3936
Given numbers has no common factors except 1. So, there LCM is their product i.e 1373664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1373664
Therefore, the GCF of Fractions 4689/349,2815/3936 is 1/1373664
Least Common Multiple of 349,3936 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 349,3936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,3936) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,3936) x common factors =1 x 1 = 1
LCM(349,3936) = ( 349 × 3936 ) / 1
LCM(349,3936) = 1373664 / 1
LCM(349,3936) = 1373664
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FAQs on GCF of Fractions of 4689/349, 2815/3936
1. What is the HCF of 4689,2815?
The HCF of 4689,2815 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 4689/349, 2815/3936?
Answer: GCF of Numerators as per given numbers 4689/349, 2815/3936 is
GCF of Numerators i.e. for 4689,2815 is 1
LCM of denominators i.e. for 349,3936 is 1373664.
Thus, GCF of Fractions is 1/1373664.Finally, GCF of Fractions for 4689/349, 2815/3936 is 1/1373664.