GCF of 2418/298, 2173/2874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2418/298, 2173/2874 i.e 1/428226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2418/298, 2173/2874.
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 2418/298,2173/2874?
Given fractions are 2418/298,2173/2874
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 2418/298,2173/2874, numerators are 2418,2173
Denominators are 298,2874
The GCF of 2418,2173 is 1 .
LCM of 298,2874 is 428226.
The greatest common factor of 2418/298,2173/2874 = [GCF of 2418,2173]/[LCM of 298,2874]= 1/428226
Therefore, the GCF of 2418/298,2173/2874 is 1/428226.
To find the highest common factor of 2418,2173, we have to find the factors of both numbers and list the highest common factor.
The factors of 2418 are 1, 2, 3, 6, 13, 26, 31, 39, 62, 78, 93, 186, 403, 806, 1209, 2418
The factors of 2173 are 1, 41, 53, 2173
The HCF of 2418,2173 is 1.
Lets's calculate GCF of 2418,2173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2418,2173 By Matching Biggest Common Factor Method
Now, list down the factors of 2418
:1,2,3,6,13,26,31,39,62,78,93,186,403,806,1209,2418
Now, list down the factors of 2173
:1,41,53,2173
Greatest Common Factor
We found the factors 2418,2173 . The biggest common factor number is the GCF number.
So the greatest common factor 2418,2173 is 1.
Lets's calculate LCM of 298,2874
| 2 | 298, 2874 |
| 149, 1437 |
∴ So the LCM of the given numbers is 2 x 149 x 1437 = 428226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428226
Therefore, the GCF of Fractions 2418/298,2173/2874 is 1/428226
Least Common Multiple of 298,2874 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 298,2874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,2874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,2874) x common factors =2 x 1 = 2
LCM(298,2874) = ( 298 × 2874 ) / 2
LCM(298,2874) = 856452 / 2
LCM(298,2874) = 428226
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FAQs on GCF of Fractions of 2418/298, 2173/2874
1. What is the HCF of 2418,2173?
The HCF of 2418,2173 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 2418/298, 2173/2874?
Answer: GCF of Numerators as per given numbers 2418/298, 2173/2874 is
GCF of Numerators i.e. for 2418,2173 is 1
LCM of denominators i.e. for 298,2874 is 428226.
Thus, GCF of Fractions is 1/428226.Finally, GCF of Fractions for 2418/298, 2173/2874 is 1/428226.