GCF of 2378/998, 8286/399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2378/998, 8286/399 i.e 2/398202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2378/998, 8286/399.
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 2378/998,8286/399?
Given fractions are 2378/998,8286/399
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 2378/998,8286/399, numerators are 2378,8286
Denominators are 998,399
The GCF of 2378,8286 is 2 .
LCM of 998,399 is 398202.
The greatest common factor of 2378/998,8286/399 = [GCF of 2378,8286]/[LCM of 998,399]= 2/398202
Therefore, the GCF of 2378/998,8286/399 is 2/398202.
To find the highest common factor of 2378,8286, we have to find the factors of both numbers and list the highest common factor.
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286
The HCF of 2378,8286 is 2.
Lets's calculate GCF of 2378,8286
| 2 | 2378, 8286 |
| 1189, 4143 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2378,8286 By Matching Biggest Common Factor Method
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Now, list down the factors of 8286
:1,2,3,6,1381,2762,4143,8286
Greatest Common Factor
We found the factors 2378,8286 . The biggest common factor number is the GCF number.
So the greatest common factor 2378,8286 is 2.
Lets's calculate LCM of 998,399
Given numbers has no common factors except 1. So, there LCM is their product i.e 398202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/398202
Therefore, the GCF of Fractions 2378/998,8286/399 is 2/398202
Least Common Multiple of 998,399 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 998,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,399) x common factors =1 x 1 = 1
LCM(998,399) = ( 998 × 399 ) / 1
LCM(998,399) = 398202 / 1
LCM(998,399) = 398202
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FAQs on GCF of Fractions of 2378/998, 8286/399
1. What is the HCF of 2378,8286?
The HCF of 2378,8286 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 2378/998, 8286/399?
Answer: GCF of Numerators as per given numbers 2378/998, 8286/399 is
GCF of Numerators i.e. for 2378,8286 is 2
LCM of denominators i.e. for 998,399 is 398202.
Thus, GCF of Fractions is 2/398202.Finally, GCF of Fractions for 2378/998, 8286/399 is 2/398202.