GCF of 1638/227, 4448/1779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1638/227, 4448/1779 i.e 2/403833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1638/227, 4448/1779.
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 1638/227,4448/1779?
Given fractions are 1638/227,4448/1779
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 1638/227,4448/1779, numerators are 1638,4448
Denominators are 227,1779
The GCF of 1638,4448 is 2 .
LCM of 227,1779 is 403833.
The greatest common factor of 1638/227,4448/1779 = [GCF of 1638,4448]/[LCM of 227,1779]= 2/403833
Therefore, the GCF of 1638/227,4448/1779 is 2/403833.
To find the highest common factor of 1638,4448, we have to find the factors of both numbers and list the highest common factor.
The factors of 1638 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 39, 42, 63, 78, 91, 117, 126, 182, 234, 273, 546, 819, 1638
The factors of 4448 are 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448
The HCF of 1638,4448 is 2.
Lets's calculate GCF of 1638,4448
| 2 | 1638, 4448 |
| 819, 2224 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1638,4448 By Matching Biggest Common Factor Method
Now, list down the factors of 1638
:1,2,3,6,7,9,13,14,18,21,26,39,42,63,78,91,117,126,182,234,273,546,819,1638
Now, list down the factors of 4448
:1,2,4,8,16,32,139,278,556,1112,2224,4448
Greatest Common Factor
We found the factors 1638,4448 . The biggest common factor number is the GCF number.
So the greatest common factor 1638,4448 is 2.
Lets's calculate LCM of 227,1779
Given numbers has no common factors except 1. So, there LCM is their product i.e 403833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/403833
Therefore, the GCF of Fractions 1638/227,4448/1779 is 2/403833
Least Common Multiple of 227,1779 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 227,1779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,1779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,1779) x common factors =1 x 1 = 1
LCM(227,1779) = ( 227 × 1779 ) / 1
LCM(227,1779) = 403833 / 1
LCM(227,1779) = 403833
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FAQs on GCF of Fractions of 1638/227, 4448/1779
1. What is the HCF of 1638,4448?
The HCF of 1638,4448 is 2
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 1638/227, 4448/1779?
Answer: GCF of Numerators as per given numbers 1638/227, 4448/1779 is
GCF of Numerators i.e. for 1638,4448 is 2
LCM of denominators i.e. for 227,1779 is 403833.
Thus, GCF of Fractions is 2/403833.Finally, GCF of Fractions for 1638/227, 4448/1779 is 2/403833.