GCF of 5919/284, 8471/1524
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5919/284, 8471/1524 i.e 1/108204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5919/284, 8471/1524.
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 5919/284,8471/1524?
Given fractions are 5919/284,8471/1524
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 5919/284,8471/1524, numerators are 5919,8471
Denominators are 284,1524
The GCF of 5919,8471 is 1 .
LCM of 284,1524 is 108204.
The greatest common factor of 5919/284,8471/1524 = [GCF of 5919,8471]/[LCM of 284,1524]= 1/108204
Therefore, the GCF of 5919/284,8471/1524 is 1/108204.
To find the highest common factor of 5919,8471, we have to find the factors of both numbers and list the highest common factor.
The factors of 5919 are 1, 3, 1973, 5919
The factors of 8471 are 1, 43, 197, 8471
The HCF of 5919,8471 is 1.
Lets's calculate GCF of 5919,8471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5919,8471 By Matching Biggest Common Factor Method
Now, list down the factors of 5919
:1,3,1973,5919
Now, list down the factors of 8471
:1,43,197,8471
Greatest Common Factor
We found the factors 5919,8471 . The biggest common factor number is the GCF number.
So the greatest common factor 5919,8471 is 1.
Lets's calculate LCM of 284,1524
| 2 | 284, 1524 |
| 2 | 142, 762 |
| 71, 381 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 381 = 108204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108204
Therefore, the GCF of Fractions 5919/284,8471/1524 is 1/108204
Least Common Multiple of 284,1524 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 284,1524 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,1524) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,1524) x common factors =4 x 1 = 4
LCM(284,1524) = ( 284 × 1524 ) / 4
LCM(284,1524) = 432816 / 4
LCM(284,1524) = 108204
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FAQs on GCF of Fractions of 5919/284, 8471/1524
1. What is the HCF of 5919,8471?
The HCF of 5919,8471 is 1
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 5919/284, 8471/1524?
Answer: GCF of Numerators as per given numbers 5919/284, 8471/1524 is
GCF of Numerators i.e. for 5919,8471 is 1
LCM of denominators i.e. for 284,1524 is 108204.
Thus, GCF of Fractions is 1/108204.Finally, GCF of Fractions for 5919/284, 8471/1524 is 1/108204.