GCF of 4488/546, 5899/1820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4488/546, 5899/1820 i.e 17/5460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4488/546, 5899/1820.
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 4488/546,5899/1820?
Given fractions are 4488/546,5899/1820
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 4488/546,5899/1820, numerators are 4488,5899
Denominators are 546,1820
The GCF of 4488,5899 is 17 .
LCM of 546,1820 is 5460.
The greatest common factor of 4488/546,5899/1820 = [GCF of 4488,5899]/[LCM of 546,1820]= 17/5460
Therefore, the GCF of 4488/546,5899/1820 is 17/5460.
To find the highest common factor of 4488,5899, we have to find the factors of both numbers and list the highest common factor.
The factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488
The factors of 5899 are 1, 17, 347, 5899
The HCF of 4488,5899 is 17.
Lets's calculate GCF of 4488,5899
| 17 | 4488, 5899 |
| 264, 347 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 4488,5899 By Matching Biggest Common Factor Method
Now, list down the factors of 4488
:1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488
Now, list down the factors of 5899
:1,17,347,5899
Greatest Common Factor
We found the factors 4488,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,5899 is 17.
Lets's calculate LCM of 546,1820
| 2 | 546, 1820 |
| 7 | 273, 910 |
| 13 | 39, 130 |
| 3, 10 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 10 = 5460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/5460
Therefore, the GCF of Fractions 4488/546,5899/1820 is 17/5460
Least Common Multiple of 546,1820 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 546,1820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,1820) = 182
common factors(in case of two or more numbers have common factors) = 1
GCF(546,1820) x common factors =182 x 1 = 182
LCM(546,1820) = ( 546 × 1820 ) / 182
LCM(546,1820) = 993720 / 182
LCM(546,1820) = 5460
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FAQs on GCF of Fractions of 4488/546, 5899/1820
1. What is the HCF of 4488,5899?
The HCF of 4488,5899 is 17
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 4488/546, 5899/1820?
Answer: GCF of Numerators as per given numbers 4488/546, 5899/1820 is
GCF of Numerators i.e. for 4488,5899 is 17
LCM of denominators i.e. for 546,1820 is 5460.
Thus, GCF of Fractions is 17/5460.Finally, GCF of Fractions for 4488/546, 5899/1820 is 17/5460.