GCF of 2023/47, 5899/939
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2023/47, 5899/939 i.e 17/44133 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2023/47, 5899/939.
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 2023/47,5899/939?
Given fractions are 2023/47,5899/939
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 2023/47,5899/939, numerators are 2023,5899
Denominators are 47,939
The GCF of 2023,5899 is 17 .
LCM of 47,939 is 44133.
The greatest common factor of 2023/47,5899/939 = [GCF of 2023,5899]/[LCM of 47,939]= 17/44133
Therefore, the GCF of 2023/47,5899/939 is 17/44133.
To find the highest common factor of 2023,5899, we have to find the factors of both numbers and list the highest common factor.
The factors of 2023 are 1, 7, 17, 119, 289, 2023
The factors of 5899 are 1, 17, 347, 5899
The HCF of 2023,5899 is 17.
Lets's calculate GCF of 2023,5899
| 17 | 2023, 5899 |
| 119, 347 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 2023,5899 By Matching Biggest Common Factor Method
Now, list down the factors of 2023
:1,7,17,119,289,2023
Now, list down the factors of 5899
:1,17,347,5899
Greatest Common Factor
We found the factors 2023,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,5899 is 17.
Lets's calculate LCM of 47,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 44133
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/44133
Therefore, the GCF of Fractions 2023/47,5899/939 is 17/44133
Least Common Multiple of 47,939 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 47,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,939) x common factors =1 x 1 = 1
LCM(47,939) = ( 47 × 939 ) / 1
LCM(47,939) = 44133 / 1
LCM(47,939) = 44133
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FAQs on GCF of Fractions of 2023/47, 5899/939
1. What is the HCF of 2023,5899?
The HCF of 2023,5899 is 17
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 2023/47, 5899/939?
Answer: GCF of Numerators as per given numbers 2023/47, 5899/939 is
GCF of Numerators i.e. for 2023,5899 is 17
LCM of denominators i.e. for 47,939 is 44133.
Thus, GCF of Fractions is 17/44133.Finally, GCF of Fractions for 2023/47, 5899/939 is 17/44133.