GCF of 9574/186, 9188/7887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9574/186, 9188/7887 i.e 2/488994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9574/186, 9188/7887.
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 9574/186,9188/7887?
Given fractions are 9574/186,9188/7887
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 9574/186,9188/7887, numerators are 9574,9188
Denominators are 186,7887
The GCF of 9574,9188 is 2 .
LCM of 186,7887 is 488994.
The greatest common factor of 9574/186,9188/7887 = [GCF of 9574,9188]/[LCM of 186,7887]= 2/488994
Therefore, the GCF of 9574/186,9188/7887 is 2/488994.
To find the highest common factor of 9574,9188, we have to find the factors of both numbers and list the highest common factor.
The factors of 9574 are 1, 2, 4787, 9574
The factors of 9188 are 1, 2, 4, 2297, 4594, 9188
The HCF of 9574,9188 is 2.
Lets's calculate GCF of 9574,9188
| 2 | 9574, 9188 |
| 4787, 4594 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9574,9188 By Matching Biggest Common Factor Method
Now, list down the factors of 9574
:1,2,4787,9574
Now, list down the factors of 9188
:1,2,4,2297,4594,9188
Greatest Common Factor
We found the factors 9574,9188 . The biggest common factor number is the GCF number.
So the greatest common factor 9574,9188 is 2.
Lets's calculate LCM of 186,7887
| 3 | 186, 7887 |
| 62, 2629 |
∴ So the LCM of the given numbers is 3 x 62 x 2629 = 488994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/488994
Therefore, the GCF of Fractions 9574/186,9188/7887 is 2/488994
Least Common Multiple of 186,7887 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 186,7887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,7887) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(186,7887) x common factors =3 x 1 = 3
LCM(186,7887) = ( 186 × 7887 ) / 3
LCM(186,7887) = 1466982 / 3
LCM(186,7887) = 488994
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FAQs on GCF of Fractions of 9574/186, 9188/7887
1. What is the HCF of 9574,9188?
The HCF of 9574,9188 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 9574/186, 9188/7887?
Answer: GCF of Numerators as per given numbers 9574/186, 9188/7887 is
GCF of Numerators i.e. for 9574,9188 is 2
LCM of denominators i.e. for 186,7887 is 488994.
Thus, GCF of Fractions is 2/488994.Finally, GCF of Fractions for 9574/186, 9188/7887 is 2/488994.