GCF of 5823/596, 5370/9723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5823/596, 5370/9723 i.e 3/5794908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5823/596, 5370/9723.
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 5823/596,5370/9723?
Given fractions are 5823/596,5370/9723
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 5823/596,5370/9723, numerators are 5823,5370
Denominators are 596,9723
The GCF of 5823,5370 is 3 .
LCM of 596,9723 is 5794908.
The greatest common factor of 5823/596,5370/9723 = [GCF of 5823,5370]/[LCM of 596,9723]= 3/5794908
Therefore, the GCF of 5823/596,5370/9723 is 3/5794908.
To find the highest common factor of 5823,5370, we have to find the factors of both numbers and list the highest common factor.
The factors of 5823 are 1, 3, 9, 647, 1941, 5823
The factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370
The HCF of 5823,5370 is 3.
Lets's calculate GCF of 5823,5370
| 3 | 5823, 5370 |
| 1941, 1790 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5823,5370 By Matching Biggest Common Factor Method
Now, list down the factors of 5823
:1,3,9,647,1941,5823
Now, list down the factors of 5370
:1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370
Greatest Common Factor
We found the factors 5823,5370 . The biggest common factor number is the GCF number.
So the greatest common factor 5823,5370 is 3.
Lets's calculate LCM of 596,9723
Given numbers has no common factors except 1. So, there LCM is their product i.e 5794908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5794908
Therefore, the GCF of Fractions 5823/596,5370/9723 is 3/5794908
Least Common Multiple of 596,9723 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 596,9723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,9723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(596,9723) x common factors =1 x 1 = 1
LCM(596,9723) = ( 596 × 9723 ) / 1
LCM(596,9723) = 5794908 / 1
LCM(596,9723) = 5794908
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FAQs on GCF of Fractions of 5823/596, 5370/9723
1. What is the HCF of 5823,5370?
The HCF of 5823,5370 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 5823/596, 5370/9723?
Answer: GCF of Numerators as per given numbers 5823/596, 5370/9723 is
GCF of Numerators i.e. for 5823,5370 is 3
LCM of denominators i.e. for 596,9723 is 5794908.
Thus, GCF of Fractions is 3/5794908.Finally, GCF of Fractions for 5823/596, 5370/9723 is 3/5794908.