GCF of 8888/398, 7338/4084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8888/398, 7338/4084 i.e 2/812716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8888/398, 7338/4084.
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 8888/398,7338/4084?
Given fractions are 8888/398,7338/4084
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 8888/398,7338/4084, numerators are 8888,7338
Denominators are 398,4084
The GCF of 8888,7338 is 2 .
LCM of 398,4084 is 812716.
The greatest common factor of 8888/398,7338/4084 = [GCF of 8888,7338]/[LCM of 398,4084]= 2/812716
Therefore, the GCF of 8888/398,7338/4084 is 2/812716.
To find the highest common factor of 8888,7338, we have to find the factors of both numbers and list the highest common factor.
The factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888
The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338
The HCF of 8888,7338 is 2.
Lets's calculate GCF of 8888,7338
| 2 | 8888, 7338 |
| 4444, 3669 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8888,7338 By Matching Biggest Common Factor Method
Now, list down the factors of 8888
:1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Now, list down the factors of 7338
:1,2,3,6,1223,2446,3669,7338
Greatest Common Factor
We found the factors 8888,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 8888,7338 is 2.
Lets's calculate LCM of 398,4084
| 2 | 398, 4084 |
| 199, 2042 |
∴ So the LCM of the given numbers is 2 x 199 x 2042 = 812716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/812716
Therefore, the GCF of Fractions 8888/398,7338/4084 is 2/812716
Least Common Multiple of 398,4084 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 398,4084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,4084) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,4084) x common factors =2 x 1 = 2
LCM(398,4084) = ( 398 × 4084 ) / 2
LCM(398,4084) = 1625432 / 2
LCM(398,4084) = 812716
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FAQs on GCF of Fractions of 8888/398, 7338/4084
1. What is the HCF of 8888,7338?
The HCF of 8888,7338 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 8888/398, 7338/4084?
Answer: GCF of Numerators as per given numbers 8888/398, 7338/4084 is
GCF of Numerators i.e. for 8888,7338 is 2
LCM of denominators i.e. for 398,4084 is 812716.
Thus, GCF of Fractions is 2/812716.Finally, GCF of Fractions for 8888/398, 7338/4084 is 2/812716.