GCF of 3886/343, 6693/1149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3886/343, 6693/1149 i.e 1/394107 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3886/343, 6693/1149.
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 3886/343,6693/1149?
Given fractions are 3886/343,6693/1149
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 3886/343,6693/1149, numerators are 3886,6693
Denominators are 343,1149
The GCF of 3886,6693 is 1 .
LCM of 343,1149 is 394107.
The greatest common factor of 3886/343,6693/1149 = [GCF of 3886,6693]/[LCM of 343,1149]= 1/394107
Therefore, the GCF of 3886/343,6693/1149 is 1/394107.
To find the highest common factor of 3886,6693, we have to find the factors of both numbers and list the highest common factor.
The factors of 3886 are 1, 2, 29, 58, 67, 134, 1943, 3886
The factors of 6693 are 1, 3, 23, 69, 97, 291, 2231, 6693
The HCF of 3886,6693 is 1.
Lets's calculate GCF of 3886,6693
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3886,6693 By Matching Biggest Common Factor Method
Now, list down the factors of 3886
:1,2,29,58,67,134,1943,3886
Now, list down the factors of 6693
:1,3,23,69,97,291,2231,6693
Greatest Common Factor
We found the factors 3886,6693 . The biggest common factor number is the GCF number.
So the greatest common factor 3886,6693 is 1.
Lets's calculate LCM of 343,1149
Given numbers has no common factors except 1. So, there LCM is their product i.e 394107
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394107
Therefore, the GCF of Fractions 3886/343,6693/1149 is 1/394107
Least Common Multiple of 343,1149 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 343,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,1149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,1149) x common factors =1 x 1 = 1
LCM(343,1149) = ( 343 × 1149 ) / 1
LCM(343,1149) = 394107 / 1
LCM(343,1149) = 394107
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FAQs on GCF of Fractions of 3886/343, 6693/1149
1. What is the HCF of 3886,6693?
The HCF of 3886,6693 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 3886/343, 6693/1149?
Answer: GCF of Numerators as per given numbers 3886/343, 6693/1149 is
GCF of Numerators i.e. for 3886,6693 is 1
LCM of denominators i.e. for 343,1149 is 394107.
Thus, GCF of Fractions is 1/394107.Finally, GCF of Fractions for 3886/343, 6693/1149 is 1/394107.