GCF of 3741/893, 4546/3159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3741/893, 4546/3159 i.e 1/2820987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3741/893, 4546/3159.
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 3741/893,4546/3159?
Given fractions are 3741/893,4546/3159
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 3741/893,4546/3159, numerators are 3741,4546
Denominators are 893,3159
The GCF of 3741,4546 is 1 .
LCM of 893,3159 is 2820987.
The greatest common factor of 3741/893,4546/3159 = [GCF of 3741,4546]/[LCM of 893,3159]= 1/2820987
Therefore, the GCF of 3741/893,4546/3159 is 1/2820987.
To find the highest common factor of 3741,4546, we have to find the factors of both numbers and list the highest common factor.
The factors of 3741 are 1, 3, 29, 43, 87, 129, 1247, 3741
The factors of 4546 are 1, 2, 2273, 4546
The HCF of 3741,4546 is 1.
Lets's calculate GCF of 3741,4546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3741,4546 By Matching Biggest Common Factor Method
Now, list down the factors of 3741
:1,3,29,43,87,129,1247,3741
Now, list down the factors of 4546
:1,2,2273,4546
Greatest Common Factor
We found the factors 3741,4546 . The biggest common factor number is the GCF number.
So the greatest common factor 3741,4546 is 1.
Lets's calculate LCM of 893,3159
Given numbers has no common factors except 1. So, there LCM is their product i.e 2820987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2820987
Therefore, the GCF of Fractions 3741/893,4546/3159 is 1/2820987
Least Common Multiple of 893,3159 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 893,3159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,3159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,3159) x common factors =1 x 1 = 1
LCM(893,3159) = ( 893 × 3159 ) / 1
LCM(893,3159) = 2820987 / 1
LCM(893,3159) = 2820987
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FAQs on GCF of Fractions of 3741/893, 4546/3159
1. What is the HCF of 3741,4546?
The HCF of 3741,4546 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 3741/893, 4546/3159?
Answer: GCF of Numerators as per given numbers 3741/893, 4546/3159 is
GCF of Numerators i.e. for 3741,4546 is 1
LCM of denominators i.e. for 893,3159 is 2820987.
Thus, GCF of Fractions is 1/2820987.Finally, GCF of Fractions for 3741/893, 4546/3159 is 1/2820987.