GCF of 524/533, 663/287
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 524/533, 663/287 i.e 1/3731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 524/533, 663/287.
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 524/533,663/287?
Given fractions are 524/533,663/287
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 524/533,663/287, numerators are 524,663
Denominators are 533,287
The GCF of 524,663 is 1 .
LCM of 533,287 is 3731.
The greatest common factor of 524/533,663/287 = [GCF of 524,663]/[LCM of 533,287]= 1/3731
Therefore, the GCF of 524/533,663/287 is 1/3731.
To find the highest common factor of 524,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 524,663 is 1.
Lets's calculate GCF of 524,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 524,663 By Matching Biggest Common Factor Method
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 524,663 . The biggest common factor number is the GCF number.
So the greatest common factor 524,663 is 1.
Lets's calculate LCM of 533,287
| 41 | 533, 287 |
| 13, 7 |
∴ So the LCM of the given numbers is 41 x 13 x 7 = 3731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3731
Therefore, the GCF of Fractions 524/533,663/287 is 1/3731
Least Common Multiple of 533,287 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 533,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,287) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(533,287) x common factors =41 x 1 = 41
LCM(533,287) = ( 533 × 287 ) / 41
LCM(533,287) = 152971 / 41
LCM(533,287) = 3731
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 524/533, 663/287
1. What is the HCF of 524,663?
The HCF of 524,663 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 524/533, 663/287?
Answer: GCF of Numerators as per given numbers 524/533, 663/287 is
GCF of Numerators i.e. for 524,663 is 1
LCM of denominators i.e. for 533,287 is 3731.
Thus, GCF of Fractions is 1/3731.Finally, GCF of Fractions for 524/533, 663/287 is 1/3731.