GCF of 3812/467, 5305/3844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3812/467, 5305/3844 i.e 1/1795148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3812/467, 5305/3844.
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 3812/467,5305/3844?
Given fractions are 3812/467,5305/3844
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 3812/467,5305/3844, numerators are 3812,5305
Denominators are 467,3844
The GCF of 3812,5305 is 1 .
LCM of 467,3844 is 1795148.
The greatest common factor of 3812/467,5305/3844 = [GCF of 3812,5305]/[LCM of 467,3844]= 1/1795148
Therefore, the GCF of 3812/467,5305/3844 is 1/1795148.
To find the highest common factor of 3812,5305, we have to find the factors of both numbers and list the highest common factor.
The factors of 3812 are 1, 2, 4, 953, 1906, 3812
The factors of 5305 are 1, 5, 1061, 5305
The HCF of 3812,5305 is 1.
Lets's calculate GCF of 3812,5305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3812,5305 By Matching Biggest Common Factor Method
Now, list down the factors of 3812
:1,2,4,953,1906,3812
Now, list down the factors of 5305
:1,5,1061,5305
Greatest Common Factor
We found the factors 3812,5305 . The biggest common factor number is the GCF number.
So the greatest common factor 3812,5305 is 1.
Lets's calculate LCM of 467,3844
Given numbers has no common factors except 1. So, there LCM is their product i.e 1795148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1795148
Therefore, the GCF of Fractions 3812/467,5305/3844 is 1/1795148
Least Common Multiple of 467,3844 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 467,3844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,3844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,3844) x common factors =1 x 1 = 1
LCM(467,3844) = ( 467 × 3844 ) / 1
LCM(467,3844) = 1795148 / 1
LCM(467,3844) = 1795148
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FAQs on GCF of Fractions of 3812/467, 5305/3844
1. What is the HCF of 3812,5305?
The HCF of 3812,5305 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 3812/467, 5305/3844?
Answer: GCF of Numerators as per given numbers 3812/467, 5305/3844 is
GCF of Numerators i.e. for 3812,5305 is 1
LCM of denominators i.e. for 467,3844 is 1795148.
Thus, GCF of Fractions is 1/1795148.Finally, GCF of Fractions for 3812/467, 5305/3844 is 1/1795148.