GCF of 2384/189, 4056/3801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2384/189, 4056/3801 i.e 8/34209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2384/189, 4056/3801.
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 2384/189,4056/3801?
Given fractions are 2384/189,4056/3801
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 2384/189,4056/3801, numerators are 2384,4056
Denominators are 189,3801
The GCF of 2384,4056 is 8 .
LCM of 189,3801 is 34209.
The greatest common factor of 2384/189,4056/3801 = [GCF of 2384,4056]/[LCM of 189,3801]= 8/34209
Therefore, the GCF of 2384/189,4056/3801 is 8/34209.
To find the highest common factor of 2384,4056, we have to find the factors of both numbers and list the highest common factor.
The factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384
The factors of 4056 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 169, 312, 338, 507, 676, 1014, 1352, 2028, 4056
The HCF of 2384,4056 is 8.
Lets's calculate GCF of 2384,4056
| 2 | 2384, 4056 |
| 2 | 1192, 2028 |
| 2 | 596, 1014 |
| 298, 507 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2384,4056 By Matching Biggest Common Factor Method
Now, list down the factors of 2384
:1,2,4,8,16,149,298,596,1192,2384
Now, list down the factors of 4056
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,169,312,338,507,676,1014,1352,2028,4056
Greatest Common Factor
We found the factors 2384,4056 . The biggest common factor number is the GCF number.
So the greatest common factor 2384,4056 is 8.
Lets's calculate LCM of 189,3801
| 3 | 189, 3801 |
| 7 | 63, 1267 |
| 9, 181 |
∴ So the LCM of the given numbers is 3 x 7 x 9 x 181 = 34209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/34209
Therefore, the GCF of Fractions 2384/189,4056/3801 is 8/34209
Least Common Multiple of 189,3801 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 189,3801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,3801) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(189,3801) x common factors =21 x 1 = 21
LCM(189,3801) = ( 189 × 3801 ) / 21
LCM(189,3801) = 718389 / 21
LCM(189,3801) = 34209
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FAQs on GCF of Fractions of 2384/189, 4056/3801
1. What is the HCF of 2384,4056?
The HCF of 2384,4056 is 8
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 2384/189, 4056/3801?
Answer: GCF of Numerators as per given numbers 2384/189, 4056/3801 is
GCF of Numerators i.e. for 2384,4056 is 8
LCM of denominators i.e. for 189,3801 is 34209.
Thus, GCF of Fractions is 8/34209.Finally, GCF of Fractions for 2384/189, 4056/3801 is 8/34209.