GCF of 6044/403, 5304/1043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6044/403, 5304/1043 i.e 4/420329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6044/403, 5304/1043.
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 6044/403,5304/1043?
Given fractions are 6044/403,5304/1043
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 6044/403,5304/1043, numerators are 6044,5304
Denominators are 403,1043
The GCF of 6044,5304 is 4 .
LCM of 403,1043 is 420329.
The greatest common factor of 6044/403,5304/1043 = [GCF of 6044,5304]/[LCM of 403,1043]= 4/420329
Therefore, the GCF of 6044/403,5304/1043 is 4/420329.
To find the highest common factor of 6044,5304, we have to find the factors of both numbers and list the highest common factor.
The factors of 6044 are 1, 2, 4, 1511, 3022, 6044
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The HCF of 6044,5304 is 4.
Lets's calculate GCF of 6044,5304
| 2 | 6044, 5304 |
| 2 | 3022, 2652 |
| 1511, 1326 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6044,5304 By Matching Biggest Common Factor Method
Now, list down the factors of 6044
:1,2,4,1511,3022,6044
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Greatest Common Factor
We found the factors 6044,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 6044,5304 is 4.
Lets's calculate LCM of 403,1043
Given numbers has no common factors except 1. So, there LCM is their product i.e 420329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/420329
Therefore, the GCF of Fractions 6044/403,5304/1043 is 4/420329
Least Common Multiple of 403,1043 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 403,1043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,1043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,1043) x common factors =1 x 1 = 1
LCM(403,1043) = ( 403 × 1043 ) / 1
LCM(403,1043) = 420329 / 1
LCM(403,1043) = 420329
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FAQs on GCF of Fractions of 6044/403, 5304/1043
1. What is the HCF of 6044,5304?
The HCF of 6044,5304 is 4
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 6044/403, 5304/1043?
Answer: GCF of Numerators as per given numbers 6044/403, 5304/1043 is
GCF of Numerators i.e. for 6044,5304 is 4
LCM of denominators i.e. for 403,1043 is 420329.
Thus, GCF of Fractions is 4/420329.Finally, GCF of Fractions for 6044/403, 5304/1043 is 4/420329.