GCF of 9485/439, 9271/5991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9485/439, 9271/5991 i.e 1/2630049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9485/439, 9271/5991.
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 9485/439,9271/5991?
Given fractions are 9485/439,9271/5991
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 9485/439,9271/5991, numerators are 9485,9271
Denominators are 439,5991
The GCF of 9485,9271 is 1 .
LCM of 439,5991 is 2630049.
The greatest common factor of 9485/439,9271/5991 = [GCF of 9485,9271]/[LCM of 439,5991]= 1/2630049
Therefore, the GCF of 9485/439,9271/5991 is 1/2630049.
To find the highest common factor of 9485,9271, we have to find the factors of both numbers and list the highest common factor.
The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485
The factors of 9271 are 1, 73, 127, 9271
The HCF of 9485,9271 is 1.
Lets's calculate GCF of 9485,9271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9485,9271 By Matching Biggest Common Factor Method
Now, list down the factors of 9485
:1,5,7,35,271,1355,1897,9485
Now, list down the factors of 9271
:1,73,127,9271
Greatest Common Factor
We found the factors 9485,9271 . The biggest common factor number is the GCF number.
So the greatest common factor 9485,9271 is 1.
Lets's calculate LCM of 439,5991
Given numbers has no common factors except 1. So, there LCM is their product i.e 2630049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2630049
Therefore, the GCF of Fractions 9485/439,9271/5991 is 1/2630049
Least Common Multiple of 439,5991 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 439,5991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,5991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,5991) x common factors =1 x 1 = 1
LCM(439,5991) = ( 439 × 5991 ) / 1
LCM(439,5991) = 2630049 / 1
LCM(439,5991) = 2630049
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9485/439, 9271/5991
1. What is the HCF of 9485,9271?
The HCF of 9485,9271 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 9485/439, 9271/5991?
Answer: GCF of Numerators as per given numbers 9485/439, 9271/5991 is
GCF of Numerators i.e. for 9485,9271 is 1
LCM of denominators i.e. for 439,5991 is 2630049.
Thus, GCF of Fractions is 1/2630049.Finally, GCF of Fractions for 9485/439, 9271/5991 is 1/2630049.