GCF of 5886/433, 3971/4604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5886/433, 3971/4604 i.e 1/1993532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5886/433, 3971/4604.
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 5886/433,3971/4604?
Given fractions are 5886/433,3971/4604
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 5886/433,3971/4604, numerators are 5886,3971
Denominators are 433,4604
The GCF of 5886,3971 is 1 .
LCM of 433,4604 is 1993532.
The greatest common factor of 5886/433,3971/4604 = [GCF of 5886,3971]/[LCM of 433,4604]= 1/1993532
Therefore, the GCF of 5886/433,3971/4604 is 1/1993532.
To find the highest common factor of 5886,3971, we have to find the factors of both numbers and list the highest common factor.
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The factors of 3971 are 1, 11, 19, 209, 361, 3971
The HCF of 5886,3971 is 1.
Lets's calculate GCF of 5886,3971
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5886,3971 By Matching Biggest Common Factor Method
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Now, list down the factors of 3971
:1,11,19,209,361,3971
Greatest Common Factor
We found the factors 5886,3971 . The biggest common factor number is the GCF number.
So the greatest common factor 5886,3971 is 1.
Lets's calculate LCM of 433,4604
Given numbers has no common factors except 1. So, there LCM is their product i.e 1993532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1993532
Therefore, the GCF of Fractions 5886/433,3971/4604 is 1/1993532
Least Common Multiple of 433,4604 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 433,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,4604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,4604) x common factors =1 x 1 = 1
LCM(433,4604) = ( 433 × 4604 ) / 1
LCM(433,4604) = 1993532 / 1
LCM(433,4604) = 1993532
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FAQs on GCF of Fractions of 5886/433, 3971/4604
1. What is the HCF of 5886,3971?
The HCF of 5886,3971 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 5886/433, 3971/4604?
Answer: GCF of Numerators as per given numbers 5886/433, 3971/4604 is
GCF of Numerators i.e. for 5886,3971 is 1
LCM of denominators i.e. for 433,4604 is 1993532.
Thus, GCF of Fractions is 1/1993532.Finally, GCF of Fractions for 5886/433, 3971/4604 is 1/1993532.