GCF of 1398/164, 8388/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1398/164, 8388/850 i.e 1398/69700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1398/164, 8388/850.
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 1398/164,8388/850?
Given fractions are 1398/164,8388/850
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 1398/164,8388/850, numerators are 1398,8388
Denominators are 164,850
The GCF of 1398,8388 is 1398 .
LCM of 164,850 is 69700.
The greatest common factor of 1398/164,8388/850 = [GCF of 1398,8388]/[LCM of 164,850]= 1398/69700
Therefore, the GCF of 1398/164,8388/850 is 1398/69700.
To find the highest common factor of 1398,8388, we have to find the factors of both numbers and list the highest common factor.
The factors of 1398 are 1, 2, 3, 6, 233, 466, 699, 1398
The factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388
The HCF of 1398,8388 is 1398.
Lets's calculate GCF of 1398,8388
| 2 | 1398, 8388 |
| 3 | 699, 4194 |
| 233 | 233, 1398 |
| 1, 6 |
∴ So the GCF of the given numbers is 2 x 3 x 233 = 1398
Greatest Common Factor of 1398,8388 By Matching Biggest Common Factor Method
Now, list down the factors of 1398
:1,2,3,6,233,466,699,1398
Now, list down the factors of 8388
:1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388
Greatest Common Factor
We found the factors 1398,8388 . The biggest common factor number is the GCF number.
So the greatest common factor 1398,8388 is 1398.
Lets's calculate LCM of 164,850
| 2 | 164, 850 |
| 82, 425 |
∴ So the LCM of the given numbers is 2 x 82 x 425 = 69700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1398/69700
Therefore, the GCF of Fractions 1398/164,8388/850 is 1398/69700
Least Common Multiple of 164,850 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 164,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,850) x common factors =2 x 1 = 2
LCM(164,850) = ( 164 × 850 ) / 2
LCM(164,850) = 139400 / 2
LCM(164,850) = 69700
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FAQs on GCF of Fractions of 1398/164, 8388/850
1. What is the HCF of 1398,8388?
The HCF of 1398,8388 is 1398
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 1398/164, 8388/850?
Answer: GCF of Numerators as per given numbers 1398/164, 8388/850 is
GCF of Numerators i.e. for 1398,8388 is 1398
LCM of denominators i.e. for 164,850 is 69700.
Thus, GCF of Fractions is 1398/69700.Finally, GCF of Fractions for 1398/164, 8388/850 is 1398/69700.