GCF of 8141/417, 4969/197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8141/417, 4969/197 i.e 1/82149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8141/417, 4969/197.
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 8141/417,4969/197?
Given fractions are 8141/417,4969/197
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 8141/417,4969/197, numerators are 8141,4969
Denominators are 417,197
The GCF of 8141,4969 is 1 .
LCM of 417,197 is 82149.
The greatest common factor of 8141/417,4969/197 = [GCF of 8141,4969]/[LCM of 417,197]= 1/82149
Therefore, the GCF of 8141/417,4969/197 is 1/82149.
To find the highest common factor of 8141,4969, we have to find the factors of both numbers and list the highest common factor.
The factors of 8141 are 1, 7, 1163, 8141
The factors of 4969 are 1, 4969
The HCF of 8141,4969 is 1.
Lets's calculate GCF of 8141,4969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8141,4969 By Matching Biggest Common Factor Method
Now, list down the factors of 8141
:1,7,1163,8141
Now, list down the factors of 4969
:1,4969
Greatest Common Factor
We found the factors 8141,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 8141,4969 is 1.
Lets's calculate LCM of 417,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 82149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82149
Therefore, the GCF of Fractions 8141/417,4969/197 is 1/82149
Least Common Multiple of 417,197 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 417,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,197) x common factors =1 x 1 = 1
LCM(417,197) = ( 417 × 197 ) / 1
LCM(417,197) = 82149 / 1
LCM(417,197) = 82149
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8141/417, 4969/197
1. What is the HCF of 8141,4969?
The HCF of 8141,4969 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 8141/417, 4969/197?
Answer: GCF of Numerators as per given numbers 8141/417, 4969/197 is
GCF of Numerators i.e. for 8141,4969 is 1
LCM of denominators i.e. for 417,197 is 82149.
Thus, GCF of Fractions is 1/82149.Finally, GCF of Fractions for 8141/417, 4969/197 is 1/82149.