GCF of 5139/480, 3219/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5139/480, 3219/384 i.e 3/1920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5139/480, 3219/384.
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 5139/480,3219/384?
Given fractions are 5139/480,3219/384
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 5139/480,3219/384, numerators are 5139,3219
Denominators are 480,384
The GCF of 5139,3219 is 3 .
LCM of 480,384 is 1920.
The greatest common factor of 5139/480,3219/384 = [GCF of 5139,3219]/[LCM of 480,384]= 3/1920
Therefore, the GCF of 5139/480,3219/384 is 3/1920.
To find the highest common factor of 5139,3219, we have to find the factors of both numbers and list the highest common factor.
The factors of 5139 are 1, 3, 9, 571, 1713, 5139
The factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219
The HCF of 5139,3219 is 3.
Lets's calculate GCF of 5139,3219
| 3 | 5139, 3219 |
| 1713, 1073 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5139,3219 By Matching Biggest Common Factor Method
Now, list down the factors of 5139
:1,3,9,571,1713,5139
Now, list down the factors of 3219
:1,3,29,37,87,111,1073,3219
Greatest Common Factor
We found the factors 5139,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 5139,3219 is 3.
Lets's calculate LCM of 480,384
| 2 | 480, 384 |
| 2 | 240, 192 |
| 2 | 120, 96 |
| 2 | 60, 48 |
| 2 | 30, 24 |
| 3 | 15, 12 |
| 5, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 5 x 4 = 1920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1920
Therefore, the GCF of Fractions 5139/480,3219/384 is 3/1920
Least Common Multiple of 480,384 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 480,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,384) = 96
common factors(in case of two or more numbers have common factors) = 1
GCF(480,384) x common factors =96 x 1 = 96
LCM(480,384) = ( 480 × 384 ) / 96
LCM(480,384) = 184320 / 96
LCM(480,384) = 1920
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FAQs on GCF of Fractions of 5139/480, 3219/384
1. What is the HCF of 5139,3219?
The HCF of 5139,3219 is 3
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 5139/480, 3219/384?
Answer: GCF of Numerators as per given numbers 5139/480, 3219/384 is
GCF of Numerators i.e. for 5139,3219 is 3
LCM of denominators i.e. for 480,384 is 1920.
Thus, GCF of Fractions is 3/1920.Finally, GCF of Fractions for 5139/480, 3219/384 is 3/1920.