GCF of 3629/491, 5365/3732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3629/491, 5365/3732 i.e 1/1832412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3629/491, 5365/3732.
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 3629/491,5365/3732?
Given fractions are 3629/491,5365/3732
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 3629/491,5365/3732, numerators are 3629,5365
Denominators are 491,3732
The GCF of 3629,5365 is 1 .
LCM of 491,3732 is 1832412.
The greatest common factor of 3629/491,5365/3732 = [GCF of 3629,5365]/[LCM of 491,3732]= 1/1832412
Therefore, the GCF of 3629/491,5365/3732 is 1/1832412.
To find the highest common factor of 3629,5365, we have to find the factors of both numbers and list the highest common factor.
The factors of 3629 are 1, 19, 191, 3629
The factors of 5365 are 1, 5, 29, 37, 145, 185, 1073, 5365
The HCF of 3629,5365 is 1.
Lets's calculate GCF of 3629,5365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3629,5365 By Matching Biggest Common Factor Method
Now, list down the factors of 3629
:1,19,191,3629
Now, list down the factors of 5365
:1,5,29,37,145,185,1073,5365
Greatest Common Factor
We found the factors 3629,5365 . The biggest common factor number is the GCF number.
So the greatest common factor 3629,5365 is 1.
Lets's calculate LCM of 491,3732
Given numbers has no common factors except 1. So, there LCM is their product i.e 1832412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1832412
Therefore, the GCF of Fractions 3629/491,5365/3732 is 1/1832412
Least Common Multiple of 491,3732 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 491,3732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,3732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,3732) x common factors =1 x 1 = 1
LCM(491,3732) = ( 491 × 3732 ) / 1
LCM(491,3732) = 1832412 / 1
LCM(491,3732) = 1832412
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FAQs on GCF of Fractions of 3629/491, 5365/3732
1. What is the HCF of 3629,5365?
The HCF of 3629,5365 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 3629/491, 5365/3732?
Answer: GCF of Numerators as per given numbers 3629/491, 5365/3732 is
GCF of Numerators i.e. for 3629,5365 is 1
LCM of denominators i.e. for 491,3732 is 1832412.
Thus, GCF of Fractions is 1/1832412.Finally, GCF of Fractions for 3629/491, 5365/3732 is 1/1832412.