GCF of 3892/419, 9171/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3892/419, 9171/409 i.e 1/171371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3892/419, 9171/409.
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 3892/419,9171/409?
Given fractions are 3892/419,9171/409
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 3892/419,9171/409, numerators are 3892,9171
Denominators are 419,409
The GCF of 3892,9171 is 1 .
LCM of 419,409 is 171371.
The greatest common factor of 3892/419,9171/409 = [GCF of 3892,9171]/[LCM of 419,409]= 1/171371
Therefore, the GCF of 3892/419,9171/409 is 1/171371.
To find the highest common factor of 3892,9171, we have to find the factors of both numbers and list the highest common factor.
The factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892
The factors of 9171 are 1, 3, 9, 1019, 3057, 9171
The HCF of 3892,9171 is 1.
Lets's calculate GCF of 3892,9171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3892,9171 By Matching Biggest Common Factor Method
Now, list down the factors of 3892
:1,2,4,7,14,28,139,278,556,973,1946,3892
Now, list down the factors of 9171
:1,3,9,1019,3057,9171
Greatest Common Factor
We found the factors 3892,9171 . The biggest common factor number is the GCF number.
So the greatest common factor 3892,9171 is 1.
Lets's calculate LCM of 419,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 171371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171371
Therefore, the GCF of Fractions 3892/419,9171/409 is 1/171371
Least Common Multiple of 419,409 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 419,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,409) x common factors =1 x 1 = 1
LCM(419,409) = ( 419 × 409 ) / 1
LCM(419,409) = 171371 / 1
LCM(419,409) = 171371
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FAQs on GCF of Fractions of 3892/419, 9171/409
1. What is the HCF of 3892,9171?
The HCF of 3892,9171 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 3892/419, 9171/409?
Answer: GCF of Numerators as per given numbers 3892/419, 9171/409 is
GCF of Numerators i.e. for 3892,9171 is 1
LCM of denominators i.e. for 419,409 is 171371.
Thus, GCF of Fractions is 1/171371.Finally, GCF of Fractions for 3892/419, 9171/409 is 1/171371.