GCF of 8469/457, 6141/5280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8469/457, 6141/5280 i.e 3/2412960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8469/457, 6141/5280.
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 8469/457,6141/5280?
Given fractions are 8469/457,6141/5280
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 8469/457,6141/5280, numerators are 8469,6141
Denominators are 457,5280
The GCF of 8469,6141 is 3 .
LCM of 457,5280 is 2412960.
The greatest common factor of 8469/457,6141/5280 = [GCF of 8469,6141]/[LCM of 457,5280]= 3/2412960
Therefore, the GCF of 8469/457,6141/5280 is 3/2412960.
To find the highest common factor of 8469,6141, we have to find the factors of both numbers and list the highest common factor.
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141
The HCF of 8469,6141 is 3.
Lets's calculate GCF of 8469,6141
| 3 | 8469, 6141 |
| 2823, 2047 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8469,6141 By Matching Biggest Common Factor Method
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Now, list down the factors of 6141
:1,3,23,69,89,267,2047,6141
Greatest Common Factor
We found the factors 8469,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 8469,6141 is 3.
Lets's calculate LCM of 457,5280
Given numbers has no common factors except 1. So, there LCM is their product i.e 2412960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2412960
Therefore, the GCF of Fractions 8469/457,6141/5280 is 3/2412960
Least Common Multiple of 457,5280 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 457,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,5280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,5280) x common factors =1 x 1 = 1
LCM(457,5280) = ( 457 × 5280 ) / 1
LCM(457,5280) = 2412960 / 1
LCM(457,5280) = 2412960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8469/457, 6141/5280
1. What is the HCF of 8469,6141?
The HCF of 8469,6141 is 3
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 8469/457, 6141/5280?
Answer: GCF of Numerators as per given numbers 8469/457, 6141/5280 is
GCF of Numerators i.e. for 8469,6141 is 3
LCM of denominators i.e. for 457,5280 is 2412960.
Thus, GCF of Fractions is 3/2412960.Finally, GCF of Fractions for 8469/457, 6141/5280 is 3/2412960.