GCF of 5014/443, 7584/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5014/443, 7584/903 i.e 2/400029 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5014/443, 7584/903.
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 5014/443,7584/903?
Given fractions are 5014/443,7584/903
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 5014/443,7584/903, numerators are 5014,7584
Denominators are 443,903
The GCF of 5014,7584 is 2 .
LCM of 443,903 is 400029.
The greatest common factor of 5014/443,7584/903 = [GCF of 5014,7584]/[LCM of 443,903]= 2/400029
Therefore, the GCF of 5014/443,7584/903 is 2/400029.
To find the highest common factor of 5014,7584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The HCF of 5014,7584 is 2.
Lets's calculate GCF of 5014,7584
| 2 | 5014, 7584 |
| 2507, 3792 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5014,7584 By Matching Biggest Common Factor Method
Now, list down the factors of 5014
:1,2,23,46,109,218,2507,5014
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Greatest Common Factor
We found the factors 5014,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 5014,7584 is 2.
Lets's calculate LCM of 443,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 400029
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400029
Therefore, the GCF of Fractions 5014/443,7584/903 is 2/400029
Least Common Multiple of 443,903 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 443,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,903) x common factors =1 x 1 = 1
LCM(443,903) = ( 443 × 903 ) / 1
LCM(443,903) = 400029 / 1
LCM(443,903) = 400029
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FAQs on GCF of Fractions of 5014/443, 7584/903
1. What is the HCF of 5014,7584?
The HCF of 5014,7584 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 5014/443, 7584/903?
Answer: GCF of Numerators as per given numbers 5014/443, 7584/903 is
GCF of Numerators i.e. for 5014,7584 is 2
LCM of denominators i.e. for 443,903 is 400029.
Thus, GCF of Fractions is 2/400029.Finally, GCF of Fractions for 5014/443, 7584/903 is 2/400029.