GCF of 462/37, 663/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 462/37, 663/249 i.e 3/9213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 462/37, 663/249.
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 462/37,663/249?
Given fractions are 462/37,663/249
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 462/37,663/249, numerators are 462,663
Denominators are 37,249
The GCF of 462,663 is 3 .
LCM of 37,249 is 9213.
The greatest common factor of 462/37,663/249 = [GCF of 462,663]/[LCM of 37,249]= 3/9213
Therefore, the GCF of 462/37,663/249 is 3/9213.
To find the highest common factor of 462,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 462,663 is 3.
Lets's calculate GCF of 462,663
| 3 | 462, 663 |
| 154, 221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 462,663 By Matching Biggest Common Factor Method
Now, list down the factors of 462
:1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 462,663 . The biggest common factor number is the GCF number.
So the greatest common factor 462,663 is 3.
Lets's calculate LCM of 37,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 9213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9213
Therefore, the GCF of Fractions 462/37,663/249 is 3/9213
Least Common Multiple of 37,249 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 37,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,249) x common factors =1 x 1 = 1
LCM(37,249) = ( 37 × 249 ) / 1
LCM(37,249) = 9213 / 1
LCM(37,249) = 9213
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 462/37, 663/249
1. What is the HCF of 462,663?
The HCF of 462,663 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 462/37, 663/249?
Answer: GCF of Numerators as per given numbers 462/37, 663/249 is
GCF of Numerators i.e. for 462,663 is 3
LCM of denominators i.e. for 37,249 is 9213.
Thus, GCF of Fractions is 3/9213.Finally, GCF of Fractions for 462/37, 663/249 is 3/9213.