GCF of 3643/463, 3761/5750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3643/463, 3761/5750 i.e 1/2662250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3643/463, 3761/5750.
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 3643/463,3761/5750?
Given fractions are 3643/463,3761/5750
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 3643/463,3761/5750, numerators are 3643,3761
Denominators are 463,5750
The GCF of 3643,3761 is 1 .
LCM of 463,5750 is 2662250.
The greatest common factor of 3643/463,3761/5750 = [GCF of 3643,3761]/[LCM of 463,5750]= 1/2662250
Therefore, the GCF of 3643/463,3761/5750 is 1/2662250.
To find the highest common factor of 3643,3761, we have to find the factors of both numbers and list the highest common factor.
The factors of 3643 are 1, 3643
The factors of 3761 are 1, 3761
The HCF of 3643,3761 is 1.
Lets's calculate GCF of 3643,3761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3643,3761 By Matching Biggest Common Factor Method
Now, list down the factors of 3643
:1,3643
Now, list down the factors of 3761
:1,3761
Greatest Common Factor
We found the factors 3643,3761 . The biggest common factor number is the GCF number.
So the greatest common factor 3643,3761 is 1.
Lets's calculate LCM of 463,5750
Given numbers has no common factors except 1. So, there LCM is their product i.e 2662250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2662250
Therefore, the GCF of Fractions 3643/463,3761/5750 is 1/2662250
Least Common Multiple of 463,5750 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 463,5750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,5750) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,5750) x common factors =1 x 1 = 1
LCM(463,5750) = ( 463 × 5750 ) / 1
LCM(463,5750) = 2662250 / 1
LCM(463,5750) = 2662250
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FAQs on GCF of Fractions of 3643/463, 3761/5750
1. What is the HCF of 3643,3761?
The HCF of 3643,3761 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 3643/463, 3761/5750?
Answer: GCF of Numerators as per given numbers 3643/463, 3761/5750 is
GCF of Numerators i.e. for 3643,3761 is 1
LCM of denominators i.e. for 463,5750 is 2662250.
Thus, GCF of Fractions is 1/2662250.Finally, GCF of Fractions for 3643/463, 3761/5750 is 1/2662250.