GCF of 597/18, 663/516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 597/18, 663/516 i.e 3/1548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 597/18, 663/516.
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 597/18,663/516?
Given fractions are 597/18,663/516
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 597/18,663/516, numerators are 597,663
Denominators are 18,516
The GCF of 597,663 is 3 .
LCM of 18,516 is 1548.
The greatest common factor of 597/18,663/516 = [GCF of 597,663]/[LCM of 18,516]= 3/1548
Therefore, the GCF of 597/18,663/516 is 3/1548.
To find the highest common factor of 597,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 597 are 1, 3, 199, 597
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 597,663 is 3.
Lets's calculate GCF of 597,663
| 3 | 597, 663 |
| 199, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 597,663 By Matching Biggest Common Factor Method
Now, list down the factors of 597
:1,3,199,597
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 597,663 . The biggest common factor number is the GCF number.
So the greatest common factor 597,663 is 3.
Lets's calculate LCM of 18,516
| 2 | 18, 516 |
| 3 | 9, 258 |
| 3, 86 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 86 = 1548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1548
Therefore, the GCF of Fractions 597/18,663/516 is 3/1548
Least Common Multiple of 18,516 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 18,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,516) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,516) x common factors =6 x 1 = 6
LCM(18,516) = ( 18 × 516 ) / 6
LCM(18,516) = 9288 / 6
LCM(18,516) = 1548
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 597/18, 663/516
1. What is the HCF of 597,663?
The HCF of 597,663 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 597/18, 663/516?
Answer: GCF of Numerators as per given numbers 597/18, 663/516 is
GCF of Numerators i.e. for 597,663 is 3
LCM of denominators i.e. for 18,516 is 1548.
Thus, GCF of Fractions is 3/1548.Finally, GCF of Fractions for 597/18, 663/516 is 3/1548.