GCF of 3463/612, 2163/3901
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3463/612, 2163/3901 i.e 1/2387412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3463/612, 2163/3901.
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 3463/612,2163/3901?
Given fractions are 3463/612,2163/3901
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 3463/612,2163/3901, numerators are 3463,2163
Denominators are 612,3901
The GCF of 3463,2163 is 1 .
LCM of 612,3901 is 2387412.
The greatest common factor of 3463/612,2163/3901 = [GCF of 3463,2163]/[LCM of 612,3901]= 1/2387412
Therefore, the GCF of 3463/612,2163/3901 is 1/2387412.
To find the highest common factor of 3463,2163, we have to find the factors of both numbers and list the highest common factor.
The factors of 3463 are 1, 3463
The factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163
The HCF of 3463,2163 is 1.
Lets's calculate GCF of 3463,2163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3463,2163 By Matching Biggest Common Factor Method
Now, list down the factors of 3463
:1,3463
Now, list down the factors of 2163
:1,3,7,21,103,309,721,2163
Greatest Common Factor
We found the factors 3463,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 3463,2163 is 1.
Lets's calculate LCM of 612,3901
Given numbers has no common factors except 1. So, there LCM is their product i.e 2387412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2387412
Therefore, the GCF of Fractions 3463/612,2163/3901 is 1/2387412
Least Common Multiple of 612,3901 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 612,3901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,3901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,3901) x common factors =1 x 1 = 1
LCM(612,3901) = ( 612 × 3901 ) / 1
LCM(612,3901) = 2387412 / 1
LCM(612,3901) = 2387412
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FAQs on GCF of Fractions of 3463/612, 2163/3901
1. What is the HCF of 3463,2163?
The HCF of 3463,2163 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 3463/612, 2163/3901?
Answer: GCF of Numerators as per given numbers 3463/612, 2163/3901 is
GCF of Numerators i.e. for 3463,2163 is 1
LCM of denominators i.e. for 612,3901 is 2387412.
Thus, GCF of Fractions is 1/2387412.Finally, GCF of Fractions for 3463/612, 2163/3901 is 1/2387412.