GCF of 5858/419, 4545/600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5858/419, 4545/600 i.e 101/251400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5858/419, 4545/600.
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 5858/419,4545/600?
Given fractions are 5858/419,4545/600
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 5858/419,4545/600, numerators are 5858,4545
Denominators are 419,600
The GCF of 5858,4545 is 101 .
LCM of 419,600 is 251400.
The greatest common factor of 5858/419,4545/600 = [GCF of 5858,4545]/[LCM of 419,600]= 101/251400
Therefore, the GCF of 5858/419,4545/600 is 101/251400.
To find the highest common factor of 5858,4545, we have to find the factors of both numbers and list the highest common factor.
The factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858
The factors of 4545 are 1, 3, 5, 9, 15, 45, 101, 303, 505, 909, 1515, 4545
The HCF of 5858,4545 is 101.
Lets's calculate GCF of 5858,4545
| 101 | 5858, 4545 |
| 58, 45 |
∴ So the GCF of the given numbers is 101 = 101
Greatest Common Factor of 5858,4545 By Matching Biggest Common Factor Method
Now, list down the factors of 5858
:1,2,29,58,101,202,2929,5858
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 5858,4545 . The biggest common factor number is the GCF number.
So the greatest common factor 5858,4545 is 101.
Lets's calculate LCM of 419,600
Given numbers has no common factors except 1. So, there LCM is their product i.e 251400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/251400
Therefore, the GCF of Fractions 5858/419,4545/600 is 101/251400
Least Common Multiple of 419,600 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 419,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,600) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,600) x common factors =1 x 1 = 1
LCM(419,600) = ( 419 × 600 ) / 1
LCM(419,600) = 251400 / 1
LCM(419,600) = 251400
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FAQs on GCF of Fractions of 5858/419, 4545/600
1. What is the HCF of 5858,4545?
The HCF of 5858,4545 is 101
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 5858/419, 4545/600?
Answer: GCF of Numerators as per given numbers 5858/419, 4545/600 is
GCF of Numerators i.e. for 5858,4545 is 101
LCM of denominators i.e. for 419,600 is 251400.
Thus, GCF of Fractions is 101/251400.Finally, GCF of Fractions for 5858/419, 4545/600 is 101/251400.