GCF of 298/418, 549/121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 298/418, 549/121 i.e 1/4598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/418, 549/121.
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 298/418,549/121?
Given fractions are 298/418,549/121
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 298/418,549/121, numerators are 298,549
Denominators are 418,121
The GCF of 298,549 is 1 .
LCM of 418,121 is 4598.
The greatest common factor of 298/418,549/121 = [GCF of 298,549]/[LCM of 418,121]= 1/4598
Therefore, the GCF of 298/418,549/121 is 1/4598.
To find the highest common factor of 298,549, we have to find the factors of both numbers and list the highest common factor.
The factors of 298 are 1, 2, 149, 298
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 298,549 is 1.
Lets's calculate GCF of 298,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 298,549 By Matching Biggest Common Factor Method
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 298,549 . The biggest common factor number is the GCF number.
So the greatest common factor 298,549 is 1.
Lets's calculate LCM of 418,121
| 11 | 418, 121 |
| 38, 11 |
∴ So the LCM of the given numbers is 11 x 38 x 11 = 4598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4598
Therefore, the GCF of Fractions 298/418,549/121 is 1/4598
Least Common Multiple of 418,121 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 418,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,121) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(418,121) x common factors =11 x 1 = 11
LCM(418,121) = ( 418 × 121 ) / 11
LCM(418,121) = 50578 / 11
LCM(418,121) = 4598
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 298/418, 549/121
1. What is the HCF of 298,549?
The HCF of 298,549 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 298/418, 549/121?
Answer: GCF of Numerators as per given numbers 298/418, 549/121 is
GCF of Numerators i.e. for 298,549 is 1
LCM of denominators i.e. for 418,121 is 4598.
Thus, GCF of Fractions is 1/4598.Finally, GCF of Fractions for 298/418, 549/121 is 1/4598.