GCF of 5774/589, 7596/4878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5774/589, 7596/4878 i.e 2/2873142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5774/589, 7596/4878.
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 5774/589,7596/4878?
Given fractions are 5774/589,7596/4878
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 5774/589,7596/4878, numerators are 5774,7596
Denominators are 589,4878
The GCF of 5774,7596 is 2 .
LCM of 589,4878 is 2873142.
The greatest common factor of 5774/589,7596/4878 = [GCF of 5774,7596]/[LCM of 589,4878]= 2/2873142
Therefore, the GCF of 5774/589,7596/4878 is 2/2873142.
To find the highest common factor of 5774,7596, we have to find the factors of both numbers and list the highest common factor.
The factors of 5774 are 1, 2, 2887, 5774
The factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596
The HCF of 5774,7596 is 2.
Lets's calculate GCF of 5774,7596
| 2 | 5774, 7596 |
| 2887, 3798 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5774,7596 By Matching Biggest Common Factor Method
Now, list down the factors of 5774
:1,2,2887,5774
Now, list down the factors of 7596
:1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596
Greatest Common Factor
We found the factors 5774,7596 . The biggest common factor number is the GCF number.
So the greatest common factor 5774,7596 is 2.
Lets's calculate LCM of 589,4878
Given numbers has no common factors except 1. So, there LCM is their product i.e 2873142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2873142
Therefore, the GCF of Fractions 5774/589,7596/4878 is 2/2873142
Least Common Multiple of 589,4878 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 589,4878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,4878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,4878) x common factors =1 x 1 = 1
LCM(589,4878) = ( 589 × 4878 ) / 1
LCM(589,4878) = 2873142 / 1
LCM(589,4878) = 2873142
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FAQs on GCF of Fractions of 5774/589, 7596/4878
1. What is the HCF of 5774,7596?
The HCF of 5774,7596 is 2
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 5774/589, 7596/4878?
Answer: GCF of Numerators as per given numbers 5774/589, 7596/4878 is
GCF of Numerators i.e. for 5774,7596 is 2
LCM of denominators i.e. for 589,4878 is 2873142.
Thus, GCF of Fractions is 2/2873142.Finally, GCF of Fractions for 5774/589, 7596/4878 is 2/2873142.