GCF of 513/249, 464/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 513/249, 464/498 i.e 1/498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 513/249, 464/498.
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 513/249,464/498?
Given fractions are 513/249,464/498
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 513/249,464/498, numerators are 513,464
Denominators are 249,498
The GCF of 513,464 is 1 .
LCM of 249,498 is 498.
The greatest common factor of 513/249,464/498 = [GCF of 513,464]/[LCM of 249,498]= 1/498
Therefore, the GCF of 513/249,464/498 is 1/498.
To find the highest common factor of 513,464, we have to find the factors of both numbers and list the highest common factor.
The factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513
The factors of 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 513,464 is 1.
Lets's calculate GCF of 513,464
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 513,464 By Matching Biggest Common Factor Method
Now, list down the factors of 513
:1,3,9,19,27,57,171,513
Now, list down the factors of 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 513,464 . The biggest common factor number is the GCF number.
So the greatest common factor 513,464 is 1.
Lets's calculate LCM of 249,498
| 3 | 249, 498 |
| 83 | 83, 166 |
| 1, 2 |
∴ So the LCM of the given numbers is 3 x 83 x 1 x 2 = 498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498
Therefore, the GCF of Fractions 513/249,464/498 is 1/498
Least Common Multiple of 249,498 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 249,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,498) = 249
common factors(in case of two or more numbers have common factors) = 1
GCF(249,498) x common factors =249 x 1 = 249
LCM(249,498) = ( 249 × 498 ) / 249
LCM(249,498) = 124002 / 249
LCM(249,498) = 498
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FAQs on GCF of Fractions of 513/249, 464/498
1. What is the HCF of 513,464?
The HCF of 513,464 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 513/249, 464/498?
Answer: GCF of Numerators as per given numbers 513/249, 464/498 is
GCF of Numerators i.e. for 513,464 is 1
LCM of denominators i.e. for 249,498 is 498.
Thus, GCF of Fractions is 1/498.Finally, GCF of Fractions for 513/249, 464/498 is 1/498.