GCF of 4397/821, 3791/493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4397/821, 3791/493 i.e 1/404753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4397/821, 3791/493.
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 4397/821,3791/493?
Given fractions are 4397/821,3791/493
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 4397/821,3791/493, numerators are 4397,3791
Denominators are 821,493
The GCF of 4397,3791 is 1 .
LCM of 821,493 is 404753.
The greatest common factor of 4397/821,3791/493 = [GCF of 4397,3791]/[LCM of 821,493]= 1/404753
Therefore, the GCF of 4397/821,3791/493 is 1/404753.
To find the highest common factor of 4397,3791, we have to find the factors of both numbers and list the highest common factor.
The factors of 4397 are 1, 4397
The factors of 3791 are 1, 17, 223, 3791
The HCF of 4397,3791 is 1.
Lets's calculate GCF of 4397,3791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4397,3791 By Matching Biggest Common Factor Method
Now, list down the factors of 4397
:1,4397
Now, list down the factors of 3791
:1,17,223,3791
Greatest Common Factor
We found the factors 4397,3791 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,3791 is 1.
Lets's calculate LCM of 821,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 404753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404753
Therefore, the GCF of Fractions 4397/821,3791/493 is 1/404753
Least Common Multiple of 821,493 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 821,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,493) x common factors =1 x 1 = 1
LCM(821,493) = ( 821 × 493 ) / 1
LCM(821,493) = 404753 / 1
LCM(821,493) = 404753
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FAQs on GCF of Fractions of 4397/821, 3791/493
1. What is the HCF of 4397,3791?
The HCF of 4397,3791 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 4397/821, 3791/493?
Answer: GCF of Numerators as per given numbers 4397/821, 3791/493 is
GCF of Numerators i.e. for 4397,3791 is 1
LCM of denominators i.e. for 821,493 is 404753.
Thus, GCF of Fractions is 1/404753.Finally, GCF of Fractions for 4397/821, 3791/493 is 1/404753.