GCF of 815/457, 5497/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 815/457, 5497/545 i.e 1/249065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 815/457, 5497/545.
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 815/457,5497/545?
Given fractions are 815/457,5497/545
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 815/457,5497/545, numerators are 815,5497
Denominators are 457,545
The GCF of 815,5497 is 1 .
LCM of 457,545 is 249065.
The greatest common factor of 815/457,5497/545 = [GCF of 815,5497]/[LCM of 457,545]= 1/249065
Therefore, the GCF of 815/457,5497/545 is 1/249065.
To find the highest common factor of 815,5497, we have to find the factors of both numbers and list the highest common factor.
The factors of 815 are 1, 5, 163, 815
The factors of 5497 are 1, 23, 239, 5497
The HCF of 815,5497 is 1.
Lets's calculate GCF of 815,5497
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 815,5497 By Matching Biggest Common Factor Method
Now, list down the factors of 815
:1,5,163,815
Now, list down the factors of 5497
:1,23,239,5497
Greatest Common Factor
We found the factors 815,5497 . The biggest common factor number is the GCF number.
So the greatest common factor 815,5497 is 1.
Lets's calculate LCM of 457,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 249065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249065
Therefore, the GCF of Fractions 815/457,5497/545 is 1/249065
Least Common Multiple of 457,545 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 457,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,545) x common factors =1 x 1 = 1
LCM(457,545) = ( 457 × 545 ) / 1
LCM(457,545) = 249065 / 1
LCM(457,545) = 249065
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 815/457, 5497/545
1. What is the HCF of 815,5497?
The HCF of 815,5497 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 815/457, 5497/545?
Answer: GCF of Numerators as per given numbers 815/457, 5497/545 is
GCF of Numerators i.e. for 815,5497 is 1
LCM of denominators i.e. for 457,545 is 249065.
Thus, GCF of Fractions is 1/249065.Finally, GCF of Fractions for 815/457, 5497/545 is 1/249065.