GCF of 2105/402, 8372/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2105/402, 8372/413 i.e 1/166026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2105/402, 8372/413.
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 2105/402,8372/413?
Given fractions are 2105/402,8372/413
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 2105/402,8372/413, numerators are 2105,8372
Denominators are 402,413
The GCF of 2105,8372 is 1 .
LCM of 402,413 is 166026.
The greatest common factor of 2105/402,8372/413 = [GCF of 2105,8372]/[LCM of 402,413]= 1/166026
Therefore, the GCF of 2105/402,8372/413 is 1/166026.
To find the highest common factor of 2105,8372, we have to find the factors of both numbers and list the highest common factor.
The factors of 2105 are 1, 5, 421, 2105
The factors of 8372 are 1, 2, 4, 7, 13, 14, 23, 26, 28, 46, 52, 91, 92, 161, 182, 299, 322, 364, 598, 644, 1196, 2093, 4186, 8372
The HCF of 2105,8372 is 1.
Lets's calculate GCF of 2105,8372
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2105,8372 By Matching Biggest Common Factor Method
Now, list down the factors of 2105
:1,5,421,2105
Now, list down the factors of 8372
:1,2,4,7,13,14,23,26,28,46,52,91,92,161,182,299,322,364,598,644,1196,2093,4186,8372
Greatest Common Factor
We found the factors 2105,8372 . The biggest common factor number is the GCF number.
So the greatest common factor 2105,8372 is 1.
Lets's calculate LCM of 402,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 166026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166026
Therefore, the GCF of Fractions 2105/402,8372/413 is 1/166026
Least Common Multiple of 402,413 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 402,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(402,413) x common factors =1 x 1 = 1
LCM(402,413) = ( 402 × 413 ) / 1
LCM(402,413) = 166026 / 1
LCM(402,413) = 166026
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FAQs on GCF of Fractions of 2105/402, 8372/413
1. What is the HCF of 2105,8372?
The HCF of 2105,8372 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 2105/402, 8372/413?
Answer: GCF of Numerators as per given numbers 2105/402, 8372/413 is
GCF of Numerators i.e. for 2105,8372 is 1
LCM of denominators i.e. for 402,413 is 166026.
Thus, GCF of Fractions is 1/166026.Finally, GCF of Fractions for 2105/402, 8372/413 is 1/166026.