GCF of 3861/331, 8588/4212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3861/331, 8588/4212 i.e 1/1394172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3861/331, 8588/4212.
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 3861/331,8588/4212?
Given fractions are 3861/331,8588/4212
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 3861/331,8588/4212, numerators are 3861,8588
Denominators are 331,4212
The GCF of 3861,8588 is 1 .
LCM of 331,4212 is 1394172.
The greatest common factor of 3861/331,8588/4212 = [GCF of 3861,8588]/[LCM of 331,4212]= 1/1394172
Therefore, the GCF of 3861/331,8588/4212 is 1/1394172.
To find the highest common factor of 3861,8588, we have to find the factors of both numbers and list the highest common factor.
The factors of 3861 are 1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 1287, 3861
The factors of 8588 are 1, 2, 4, 19, 38, 76, 113, 226, 452, 2147, 4294, 8588
The HCF of 3861,8588 is 1.
Lets's calculate GCF of 3861,8588
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3861,8588 By Matching Biggest Common Factor Method
Now, list down the factors of 3861
:1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861
Now, list down the factors of 8588
:1,2,4,19,38,76,113,226,452,2147,4294,8588
Greatest Common Factor
We found the factors 3861,8588 . The biggest common factor number is the GCF number.
So the greatest common factor 3861,8588 is 1.
Lets's calculate LCM of 331,4212
Given numbers has no common factors except 1. So, there LCM is their product i.e 1394172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1394172
Therefore, the GCF of Fractions 3861/331,8588/4212 is 1/1394172
Least Common Multiple of 331,4212 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 331,4212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,4212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,4212) x common factors =1 x 1 = 1
LCM(331,4212) = ( 331 × 4212 ) / 1
LCM(331,4212) = 1394172 / 1
LCM(331,4212) = 1394172
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FAQs on GCF of Fractions of 3861/331, 8588/4212
1. What is the HCF of 3861,8588?
The HCF of 3861,8588 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 3861/331, 8588/4212?
Answer: GCF of Numerators as per given numbers 3861/331, 8588/4212 is
GCF of Numerators i.e. for 3861,8588 is 1
LCM of denominators i.e. for 331,4212 is 1394172.
Thus, GCF of Fractions is 1/1394172.Finally, GCF of Fractions for 3861/331, 8588/4212 is 1/1394172.