GCF of 25/829, 470/513, 164/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 25/829, 470/513, 164/809 i.e 1/344049093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 25/829, 470/513, 164/809.
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 25/829,470/513,164/809?
Given fractions are 25/829,470/513,164/809
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 25/829,470/513,164/809, numerators are 25,470,164
Denominators are 829,513,809
The GCF of 25,470,164 is 1 .
LCM of 829,513,809 is 344049093.
The greatest common factor of 25/829,470/513,164/809 = [GCF of 25,470,164]/[LCM of 829,513,809]= 1/344049093
Therefore, the GCF of 25/829,470/513,164/809 is 1/344049093.
To find the highest common factor of 25,470,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 25 are 1, 5, 25
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 25,470,164 is 1.
Lets's calculate GCF of 25,470,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 25,470,164 By Matching Biggest Common Factor Method
Now, list down the factors of 25
:1,5,25
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 25,470,164 . The biggest common factor number is the GCF number.
So the greatest common factor 25,470,164 is 1.
Lets's calculate LCM of 829,513,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 344049093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344049093
Therefore, the GCF of Fractions 25/829,470/513,164/809 is 1/344049093
Least Common Multiple of 829,513,809 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 829,513,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,513,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,513,809) x common factors =1 x 1 = 1
LCM(829,513,809) = ( 829 × 513 × 809 ) / 1
LCM(829,513,809) = 344049093 / 1
LCM(829,513,809) = 344049093
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 25/829, 470/513, 164/809
1. What is the HCF of 25,470,164?
The HCF of 25,470,164 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 25/829, 470/513, 164/809?
Answer: GCF of Numerators as per given numbers 25/829, 470/513, 164/809 is
GCF of Numerators i.e. for 25,470,164 is 1
LCM of denominators i.e. for 829,513,809 is 344049093.
Thus, GCF of Fractions is 1/344049093.Finally, GCF of Fractions for 25/829, 470/513, 164/809 is 1/344049093.