GCF of 373/258, 298/549, 992/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 373/258, 298/549, 992/299 i.e 1/14116986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 373/258, 298/549, 992/299.
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 373/258,298/549,992/299?
Given fractions are 373/258,298/549,992/299
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 373/258,298/549,992/299, numerators are 373,298,992
Denominators are 258,549,299
The GCF of 373,298,992 is 1 .
LCM of 258,549,299 is 14116986.
The greatest common factor of 373/258,298/549,992/299 = [GCF of 373,298,992]/[LCM of 258,549,299]= 1/14116986
Therefore, the GCF of 373/258,298/549,992/299 is 1/14116986.
To find the highest common factor of 373,298,992, we have to find the factors of both numbers and list the highest common factor.
The factors of 373 are 1, 373
The factors of 298 are 1, 2, 149, 298
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The HCF of 373,298,992 is 1.
Lets's calculate GCF of 373,298,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 373,298,992 By Matching Biggest Common Factor Method
Now, list down the factors of 373
:1,373
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 373,298,992 . The biggest common factor number is the GCF number.
So the greatest common factor 373,298,992 is 1.
Lets's calculate LCM of 258,549,299
| 3 | 258, 549, 299 |
| 86, 183, 299 |
∴ So the LCM of the given numbers is 3 x 86 x 183 x 299 = 14116986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14116986
Therefore, the GCF of Fractions 373/258,298/549,992/299 is 1/14116986
Least Common Multiple of 258,549,299 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 258,549,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,549,299) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(258,549,299) x common factors =1 x 3 = 3
LCM(258,549,299) = ( 258 × 549 × 299 ) / 3
LCM(258,549,299) = 42350958 / 3
LCM(258,549,299) = 14116986
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 373/258, 298/549, 992/299
1. What is the HCF of 373,298,992?
The HCF of 373,298,992 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 373/258, 298/549, 992/299?
Answer: GCF of Numerators as per given numbers 373/258, 298/549, 992/299 is
GCF of Numerators i.e. for 373,298,992 is 1
LCM of denominators i.e. for 258,549,299 is 14116986.
Thus, GCF of Fractions is 1/14116986.Finally, GCF of Fractions for 373/258, 298/549, 992/299 is 1/14116986.