GCF of 4129/865, 8211/2969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4129/865, 8211/2969 i.e 1/2568185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4129/865, 8211/2969.
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 4129/865,8211/2969?
Given fractions are 4129/865,8211/2969
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 4129/865,8211/2969, numerators are 4129,8211
Denominators are 865,2969
The GCF of 4129,8211 is 1 .
LCM of 865,2969 is 2568185.
The greatest common factor of 4129/865,8211/2969 = [GCF of 4129,8211]/[LCM of 865,2969]= 1/2568185
Therefore, the GCF of 4129/865,8211/2969 is 1/2568185.
To find the highest common factor of 4129,8211, we have to find the factors of both numbers and list the highest common factor.
The factors of 4129 are 1, 4129
The factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211
The HCF of 4129,8211 is 1.
Lets's calculate GCF of 4129,8211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4129,8211 By Matching Biggest Common Factor Method
Now, list down the factors of 4129
:1,4129
Now, list down the factors of 8211
:1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Greatest Common Factor
We found the factors 4129,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 4129,8211 is 1.
Lets's calculate LCM of 865,2969
Given numbers has no common factors except 1. So, there LCM is their product i.e 2568185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2568185
Therefore, the GCF of Fractions 4129/865,8211/2969 is 1/2568185
Least Common Multiple of 865,2969 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 865,2969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,2969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,2969) x common factors =1 x 1 = 1
LCM(865,2969) = ( 865 × 2969 ) / 1
LCM(865,2969) = 2568185 / 1
LCM(865,2969) = 2568185
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4129/865, 8211/2969
1. What is the HCF of 4129,8211?
The HCF of 4129,8211 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 4129/865, 8211/2969?
Answer: GCF of Numerators as per given numbers 4129/865, 8211/2969 is
GCF of Numerators i.e. for 4129,8211 is 1
LCM of denominators i.e. for 865,2969 is 2568185.
Thus, GCF of Fractions is 1/2568185.Finally, GCF of Fractions for 4129/865, 8211/2969 is 1/2568185.