GCF of 3879/144, 3933/3084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3879/144, 3933/3084 i.e 9/37008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3879/144, 3933/3084.
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 3879/144,3933/3084?
Given fractions are 3879/144,3933/3084
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 3879/144,3933/3084, numerators are 3879,3933
Denominators are 144,3084
The GCF of 3879,3933 is 9 .
LCM of 144,3084 is 37008.
The greatest common factor of 3879/144,3933/3084 = [GCF of 3879,3933]/[LCM of 144,3084]= 9/37008
Therefore, the GCF of 3879/144,3933/3084 is 9/37008.
To find the highest common factor of 3879,3933, we have to find the factors of both numbers and list the highest common factor.
The factors of 3879 are 1, 3, 9, 431, 1293, 3879
The factors of 3933 are 1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933
The HCF of 3879,3933 is 9.
Lets's calculate GCF of 3879,3933
| 3 | 3879, 3933 |
| 3 | 1293, 1311 |
| 431, 437 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3879,3933 By Matching Biggest Common Factor Method
Now, list down the factors of 3879
:1,3,9,431,1293,3879
Now, list down the factors of 3933
:1,3,9,19,23,57,69,171,207,437,1311,3933
Greatest Common Factor
We found the factors 3879,3933 . The biggest common factor number is the GCF number.
So the greatest common factor 3879,3933 is 9.
Lets's calculate LCM of 144,3084
| 2 | 144, 3084 |
| 2 | 72, 1542 |
| 3 | 36, 771 |
| 12, 257 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 12 x 257 = 37008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/37008
Therefore, the GCF of Fractions 3879/144,3933/3084 is 9/37008
Least Common Multiple of 144,3084 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 144,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,3084) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(144,3084) x common factors =12 x 1 = 12
LCM(144,3084) = ( 144 × 3084 ) / 12
LCM(144,3084) = 444096 / 12
LCM(144,3084) = 37008
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FAQs on GCF of Fractions of 3879/144, 3933/3084
1. What is the HCF of 3879,3933?
The HCF of 3879,3933 is 9
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 3879/144, 3933/3084?
Answer: GCF of Numerators as per given numbers 3879/144, 3933/3084 is
GCF of Numerators i.e. for 3879,3933 is 9
LCM of denominators i.e. for 144,3084 is 37008.
Thus, GCF of Fractions is 9/37008.Finally, GCF of Fractions for 3879/144, 3933/3084 is 9/37008.