GCF of 3798/549, 2376/4959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3798/549, 2376/4959 i.e 18/302499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3798/549, 2376/4959.
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 3798/549,2376/4959?
Given fractions are 3798/549,2376/4959
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 3798/549,2376/4959, numerators are 3798,2376
Denominators are 549,4959
The GCF of 3798,2376 is 18 .
LCM of 549,4959 is 302499.
The greatest common factor of 3798/549,2376/4959 = [GCF of 3798,2376]/[LCM of 549,4959]= 18/302499
Therefore, the GCF of 3798/549,2376/4959 is 18/302499.
To find the highest common factor of 3798,2376, we have to find the factors of both numbers and list the highest common factor.
The factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798
The factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376
The HCF of 3798,2376 is 18.
Lets's calculate GCF of 3798,2376
| 2 | 3798, 2376 |
| 3 | 1899, 1188 |
| 3 | 633, 396 |
| 211, 132 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 3798,2376 By Matching Biggest Common Factor Method
Now, list down the factors of 3798
:1,2,3,6,9,18,211,422,633,1266,1899,3798
Now, list down the factors of 2376
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,88,99,108,132,198,216,264,297,396,594,792,1188,2376
Greatest Common Factor
We found the factors 3798,2376 . The biggest common factor number is the GCF number.
So the greatest common factor 3798,2376 is 18.
Lets's calculate LCM of 549,4959
| 3 | 549, 4959 |
| 3 | 183, 1653 |
| 61, 551 |
∴ So the LCM of the given numbers is 3 x 3 x 61 x 551 = 302499
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/302499
Therefore, the GCF of Fractions 3798/549,2376/4959 is 18/302499
Least Common Multiple of 549,4959 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 549,4959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,4959) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(549,4959) x common factors =9 x 1 = 9
LCM(549,4959) = ( 549 × 4959 ) / 9
LCM(549,4959) = 2722491 / 9
LCM(549,4959) = 302499
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FAQs on GCF of Fractions of 3798/549, 2376/4959
1. What is the HCF of 3798,2376?
The HCF of 3798,2376 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 3798/549, 2376/4959?
Answer: GCF of Numerators as per given numbers 3798/549, 2376/4959 is
GCF of Numerators i.e. for 3798,2376 is 18
LCM of denominators i.e. for 549,4959 is 302499.
Thus, GCF of Fractions is 18/302499.Finally, GCF of Fractions for 3798/549, 2376/4959 is 18/302499.