GCF of 8199/476, 1044/4450
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8199/476, 1044/4450 i.e 9/1059100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8199/476, 1044/4450.
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 8199/476,1044/4450?
Given fractions are 8199/476,1044/4450
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 8199/476,1044/4450, numerators are 8199,1044
Denominators are 476,4450
The GCF of 8199,1044 is 9 .
LCM of 476,4450 is 1059100.
The greatest common factor of 8199/476,1044/4450 = [GCF of 8199,1044]/[LCM of 476,4450]= 9/1059100
Therefore, the GCF of 8199/476,1044/4450 is 9/1059100.
To find the highest common factor of 8199,1044, we have to find the factors of both numbers and list the highest common factor.
The factors of 8199 are 1, 3, 9, 911, 2733, 8199
The factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044
The HCF of 8199,1044 is 9.
Lets's calculate GCF of 8199,1044
| 3 | 8199, 1044 |
| 3 | 2733, 348 |
| 911, 116 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8199,1044 By Matching Biggest Common Factor Method
Now, list down the factors of 8199
:1,3,9,911,2733,8199
Now, list down the factors of 1044
:1,2,3,4,6,9,12,18,29,36,58,87,116,174,261,348,522,1044
Greatest Common Factor
We found the factors 8199,1044 . The biggest common factor number is the GCF number.
So the greatest common factor 8199,1044 is 9.
Lets's calculate LCM of 476,4450
| 2 | 476, 4450 |
| 238, 2225 |
∴ So the LCM of the given numbers is 2 x 238 x 2225 = 1059100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1059100
Therefore, the GCF of Fractions 8199/476,1044/4450 is 9/1059100
Least Common Multiple of 476,4450 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 476,4450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,4450) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,4450) x common factors =2 x 1 = 2
LCM(476,4450) = ( 476 × 4450 ) / 2
LCM(476,4450) = 2118200 / 2
LCM(476,4450) = 1059100
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FAQs on GCF of Fractions of 8199/476, 1044/4450
1. What is the HCF of 8199,1044?
The HCF of 8199,1044 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 8199/476, 1044/4450?
Answer: GCF of Numerators as per given numbers 8199/476, 1044/4450 is
GCF of Numerators i.e. for 8199,1044 is 9
LCM of denominators i.e. for 476,4450 is 1059100.
Thus, GCF of Fractions is 9/1059100.Finally, GCF of Fractions for 8199/476, 1044/4450 is 9/1059100.