GCF of 4544/584, 5751/1391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4544/584, 5751/1391 i.e 71/812344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4544/584, 5751/1391.
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 4544/584,5751/1391?
Given fractions are 4544/584,5751/1391
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 4544/584,5751/1391, numerators are 4544,5751
Denominators are 584,1391
The GCF of 4544,5751 is 71 .
LCM of 584,1391 is 812344.
The greatest common factor of 4544/584,5751/1391 = [GCF of 4544,5751]/[LCM of 584,1391]= 71/812344
Therefore, the GCF of 4544/584,5751/1391 is 71/812344.
To find the highest common factor of 4544,5751, we have to find the factors of both numbers and list the highest common factor.
The factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544
The factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751
The HCF of 4544,5751 is 71.
Lets's calculate GCF of 4544,5751
| 71 | 4544, 5751 |
| 64, 81 |
∴ So the GCF of the given numbers is 71 = 71
Greatest Common Factor of 4544,5751 By Matching Biggest Common Factor Method
Now, list down the factors of 4544
:1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544
Now, list down the factors of 5751
:1,3,9,27,71,81,213,639,1917,5751
Greatest Common Factor
We found the factors 4544,5751 . The biggest common factor number is the GCF number.
So the greatest common factor 4544,5751 is 71.
Lets's calculate LCM of 584,1391
Given numbers has no common factors except 1. So, there LCM is their product i.e 812344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/812344
Therefore, the GCF of Fractions 4544/584,5751/1391 is 71/812344
Least Common Multiple of 584,1391 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 584,1391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,1391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,1391) x common factors =1 x 1 = 1
LCM(584,1391) = ( 584 × 1391 ) / 1
LCM(584,1391) = 812344 / 1
LCM(584,1391) = 812344
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FAQs on GCF of Fractions of 4544/584, 5751/1391
1. What is the HCF of 4544,5751?
The HCF of 4544,5751 is 71
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 4544/584, 5751/1391?
Answer: GCF of Numerators as per given numbers 4544/584, 5751/1391 is
GCF of Numerators i.e. for 4544,5751 is 71
LCM of denominators i.e. for 584,1391 is 812344.
Thus, GCF of Fractions is 71/812344.Finally, GCF of Fractions for 4544/584, 5751/1391 is 71/812344.