GCF of 3852/987, 2394/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3852/987, 2394/438 i.e 18/144102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3852/987, 2394/438.
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 3852/987,2394/438?
Given fractions are 3852/987,2394/438
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 3852/987,2394/438, numerators are 3852,2394
Denominators are 987,438
The GCF of 3852,2394 is 18 .
LCM of 987,438 is 144102.
The greatest common factor of 3852/987,2394/438 = [GCF of 3852,2394]/[LCM of 987,438]= 18/144102
Therefore, the GCF of 3852/987,2394/438 is 18/144102.
To find the highest common factor of 3852,2394, we have to find the factors of both numbers and list the highest common factor.
The factors of 3852 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 107, 214, 321, 428, 642, 963, 1284, 1926, 3852
The factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394
The HCF of 3852,2394 is 18.
Lets's calculate GCF of 3852,2394
| 2 | 3852, 2394 |
| 3 | 1926, 1197 |
| 3 | 642, 399 |
| 214, 133 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3852,2394 By Matching Biggest Common Factor Method
Now, list down the factors of 3852
:1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Now, list down the factors of 2394
:1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394
Greatest Common Factor
We found the factors 3852,2394 . The biggest common factor number is the GCF number.
So the greatest common factor 3852,2394 is 18.
Lets's calculate LCM of 987,438
| 3 | 987, 438 |
| 329, 146 |
∴ So the LCM of the given numbers is 3 x 329 x 146 = 144102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/144102
Therefore, the GCF of Fractions 3852/987,2394/438 is 18/144102
Least Common Multiple of 987,438 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 987,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,438) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(987,438) x common factors =3 x 1 = 3
LCM(987,438) = ( 987 × 438 ) / 3
LCM(987,438) = 432306 / 3
LCM(987,438) = 144102
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3852/987, 2394/438
1. What is the HCF of 3852,2394?
The HCF of 3852,2394 is 18
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 3852/987, 2394/438?
Answer: GCF of Numerators as per given numbers 3852/987, 2394/438 is
GCF of Numerators i.e. for 3852,2394 is 18
LCM of denominators i.e. for 987,438 is 144102.
Thus, GCF of Fractions is 18/144102.Finally, GCF of Fractions for 3852/987, 2394/438 is 18/144102.