GCF of 2858/398, 1998/1368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2858/398, 1998/1368 i.e 2/272232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2858/398, 1998/1368.
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 2858/398,1998/1368?
Given fractions are 2858/398,1998/1368
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 2858/398,1998/1368, numerators are 2858,1998
Denominators are 398,1368
The GCF of 2858,1998 is 2 .
LCM of 398,1368 is 272232.
The greatest common factor of 2858/398,1998/1368 = [GCF of 2858,1998]/[LCM of 398,1368]= 2/272232
Therefore, the GCF of 2858/398,1998/1368 is 2/272232.
To find the highest common factor of 2858,1998, we have to find the factors of both numbers and list the highest common factor.
The factors of 2858 are 1, 2, 1429, 2858
The factors of 1998 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 111, 222, 333, 666, 999, 1998
The HCF of 2858,1998 is 2.
Lets's calculate GCF of 2858,1998
| 2 | 2858, 1998 |
| 1429, 999 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2858,1998 By Matching Biggest Common Factor Method
Now, list down the factors of 2858
:1,2,1429,2858
Now, list down the factors of 1998
:1,2,3,6,9,18,27,37,54,74,111,222,333,666,999,1998
Greatest Common Factor
We found the factors 2858,1998 . The biggest common factor number is the GCF number.
So the greatest common factor 2858,1998 is 2.
Lets's calculate LCM of 398,1368
| 2 | 398, 1368 |
| 199, 684 |
∴ So the LCM of the given numbers is 2 x 199 x 684 = 272232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/272232
Therefore, the GCF of Fractions 2858/398,1998/1368 is 2/272232
Least Common Multiple of 398,1368 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 398,1368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,1368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,1368) x common factors =2 x 1 = 2
LCM(398,1368) = ( 398 × 1368 ) / 2
LCM(398,1368) = 544464 / 2
LCM(398,1368) = 272232
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2858/398, 1998/1368
1. What is the HCF of 2858,1998?
The HCF of 2858,1998 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 2858/398, 1998/1368?
Answer: GCF of Numerators as per given numbers 2858/398, 1998/1368 is
GCF of Numerators i.e. for 2858,1998 is 2
LCM of denominators i.e. for 398,1368 is 272232.
Thus, GCF of Fractions is 2/272232.Finally, GCF of Fractions for 2858/398, 1998/1368 is 2/272232.