GCF of 468/54, 238/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 468/54, 238/417 i.e 2/7506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 468/54, 238/417.
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 468/54,238/417?
Given fractions are 468/54,238/417
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 468/54,238/417, numerators are 468,238
Denominators are 54,417
The GCF of 468,238 is 2 .
LCM of 54,417 is 7506.
The greatest common factor of 468/54,238/417 = [GCF of 468,238]/[LCM of 54,417]= 2/7506
Therefore, the GCF of 468/54,238/417 is 2/7506.
To find the highest common factor of 468,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 468 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 468,238 is 2.
Lets's calculate GCF of 468,238
| 2 | 468, 238 |
| 234, 119 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 468,238 By Matching Biggest Common Factor Method
Now, list down the factors of 468
:1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 468,238 . The biggest common factor number is the GCF number.
So the greatest common factor 468,238 is 2.
Lets's calculate LCM of 54,417
| 3 | 54, 417 |
| 18, 139 |
∴ So the LCM of the given numbers is 3 x 18 x 139 = 7506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7506
Therefore, the GCF of Fractions 468/54,238/417 is 2/7506
Least Common Multiple of 54,417 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 54,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,417) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(54,417) x common factors =3 x 1 = 3
LCM(54,417) = ( 54 × 417 ) / 3
LCM(54,417) = 22518 / 3
LCM(54,417) = 7506
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 468/54, 238/417
1. What is the HCF of 468,238?
The HCF of 468,238 is 2
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 468/54, 238/417?
Answer: GCF of Numerators as per given numbers 468/54, 238/417 is
GCF of Numerators i.e. for 468,238 is 2
LCM of denominators i.e. for 54,417 is 7506.
Thus, GCF of Fractions is 2/7506.Finally, GCF of Fractions for 468/54, 238/417 is 2/7506.