GCF of 1581/559, 4545/2838
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1581/559, 4545/2838 i.e 3/36894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1581/559, 4545/2838.
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 1581/559,4545/2838?
Given fractions are 1581/559,4545/2838
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 1581/559,4545/2838, numerators are 1581,4545
Denominators are 559,2838
The GCF of 1581,4545 is 3 .
LCM of 559,2838 is 36894.
The greatest common factor of 1581/559,4545/2838 = [GCF of 1581,4545]/[LCM of 559,2838]= 3/36894
Therefore, the GCF of 1581/559,4545/2838 is 3/36894.
To find the highest common factor of 1581,4545, we have to find the factors of both numbers and list the highest common factor.
The factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581
The factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
The HCF of 1581,4545 is 3.
Lets's calculate GCF of 1581,4545
| 3 | 1581, 4545 |
| 527, 1515 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1581,4545 By Matching Biggest Common Factor Method
Now, list down the factors of 1581
:1,3,17,31,51,93,527,1581
Now, list down the factors of 4545
:1,3,5,9,15,45,101,303,505,909,1515,4545
Greatest Common Factor
We found the factors 1581,4545 . The biggest common factor number is the GCF number.
So the greatest common factor 1581,4545 is 3.
Lets's calculate LCM of 559,2838
| 43 | 559, 2838 |
| 13, 66 |
∴ So the LCM of the given numbers is 43 x 13 x 66 = 36894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36894
Therefore, the GCF of Fractions 1581/559,4545/2838 is 3/36894
Least Common Multiple of 559,2838 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 559,2838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,2838) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(559,2838) x common factors =43 x 1 = 43
LCM(559,2838) = ( 559 × 2838 ) / 43
LCM(559,2838) = 1586442 / 43
LCM(559,2838) = 36894
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FAQs on GCF of Fractions of 1581/559, 4545/2838
1. What is the HCF of 1581,4545?
The HCF of 1581,4545 is 3
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 1581/559, 4545/2838?
Answer: GCF of Numerators as per given numbers 1581/559, 4545/2838 is
GCF of Numerators i.e. for 1581,4545 is 3
LCM of denominators i.e. for 559,2838 is 36894.
Thus, GCF of Fractions is 3/36894.Finally, GCF of Fractions for 1581/559, 4545/2838 is 3/36894.