GCF of 6460/521, 8469/5905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6460/521, 8469/5905 i.e 1/3076505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6460/521, 8469/5905.
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 6460/521,8469/5905?
Given fractions are 6460/521,8469/5905
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 6460/521,8469/5905, numerators are 6460,8469
Denominators are 521,5905
The GCF of 6460,8469 is 1 .
LCM of 521,5905 is 3076505.
The greatest common factor of 6460/521,8469/5905 = [GCF of 6460,8469]/[LCM of 521,5905]= 1/3076505
Therefore, the GCF of 6460/521,8469/5905 is 1/3076505.
To find the highest common factor of 6460,8469, we have to find the factors of both numbers and list the highest common factor.
The factors of 6460 are 1, 2, 4, 5, 10, 17, 19, 20, 34, 38, 68, 76, 85, 95, 170, 190, 323, 340, 380, 646, 1292, 1615, 3230, 6460
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The HCF of 6460,8469 is 1.
Lets's calculate GCF of 6460,8469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6460,8469 By Matching Biggest Common Factor Method
Now, list down the factors of 6460
:1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Greatest Common Factor
We found the factors 6460,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 6460,8469 is 1.
Lets's calculate LCM of 521,5905
Given numbers has no common factors except 1. So, there LCM is their product i.e 3076505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3076505
Therefore, the GCF of Fractions 6460/521,8469/5905 is 1/3076505
Least Common Multiple of 521,5905 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 521,5905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,5905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,5905) x common factors =1 x 1 = 1
LCM(521,5905) = ( 521 × 5905 ) / 1
LCM(521,5905) = 3076505 / 1
LCM(521,5905) = 3076505
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6460/521, 8469/5905
1. What is the HCF of 6460,8469?
The HCF of 6460,8469 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 6460/521, 8469/5905?
Answer: GCF of Numerators as per given numbers 6460/521, 8469/5905 is
GCF of Numerators i.e. for 6460,8469 is 1
LCM of denominators i.e. for 521,5905 is 3076505.
Thus, GCF of Fractions is 1/3076505.Finally, GCF of Fractions for 6460/521, 8469/5905 is 1/3076505.