GCF of 5824/141, 2395/6045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5824/141, 2395/6045 i.e 1/284115 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5824/141, 2395/6045.
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 5824/141,2395/6045?
Given fractions are 5824/141,2395/6045
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 5824/141,2395/6045, numerators are 5824,2395
Denominators are 141,6045
The GCF of 5824,2395 is 1 .
LCM of 141,6045 is 284115.
The greatest common factor of 5824/141,2395/6045 = [GCF of 5824,2395]/[LCM of 141,6045]= 1/284115
Therefore, the GCF of 5824/141,2395/6045 is 1/284115.
To find the highest common factor of 5824,2395, we have to find the factors of both numbers and list the highest common factor.
The factors of 5824 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824
The factors of 2395 are 1, 5, 479, 2395
The HCF of 5824,2395 is 1.
Lets's calculate GCF of 5824,2395
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5824,2395 By Matching Biggest Common Factor Method
Now, list down the factors of 5824
:1,2,4,7,8,13,14,16,26,28,32,52,56,64,91,104,112,182,208,224,364,416,448,728,832,1456,2912,5824
Now, list down the factors of 2395
:1,5,479,2395
Greatest Common Factor
We found the factors 5824,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 5824,2395 is 1.
Lets's calculate LCM of 141,6045
| 3 | 141, 6045 |
| 47, 2015 |
∴ So the LCM of the given numbers is 3 x 47 x 2015 = 284115
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284115
Therefore, the GCF of Fractions 5824/141,2395/6045 is 1/284115
Least Common Multiple of 141,6045 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 141,6045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,6045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,6045) x common factors =3 x 1 = 3
LCM(141,6045) = ( 141 × 6045 ) / 3
LCM(141,6045) = 852345 / 3
LCM(141,6045) = 284115
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FAQs on GCF of Fractions of 5824/141, 2395/6045
1. What is the HCF of 5824,2395?
The HCF of 5824,2395 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 5824/141, 2395/6045?
Answer: GCF of Numerators as per given numbers 5824/141, 2395/6045 is
GCF of Numerators i.e. for 5824,2395 is 1
LCM of denominators i.e. for 141,6045 is 284115.
Thus, GCF of Fractions is 1/284115.Finally, GCF of Fractions for 5824/141, 2395/6045 is 1/284115.