GCF of 9446/226, 4590/8075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9446/226, 4590/8075 i.e 2/1824950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9446/226, 4590/8075.
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 9446/226,4590/8075?
Given fractions are 9446/226,4590/8075
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 9446/226,4590/8075, numerators are 9446,4590
Denominators are 226,8075
The GCF of 9446,4590 is 2 .
LCM of 226,8075 is 1824950.
The greatest common factor of 9446/226,4590/8075 = [GCF of 9446,4590]/[LCM of 226,8075]= 2/1824950
Therefore, the GCF of 9446/226,4590/8075 is 2/1824950.
To find the highest common factor of 9446,4590, we have to find the factors of both numbers and list the highest common factor.
The factors of 9446 are 1, 2, 4723, 9446
The factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590
The HCF of 9446,4590 is 2.
Lets's calculate GCF of 9446,4590
| 2 | 9446, 4590 |
| 4723, 2295 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9446,4590 By Matching Biggest Common Factor Method
Now, list down the factors of 9446
:1,2,4723,9446
Now, list down the factors of 4590
:1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Greatest Common Factor
We found the factors 9446,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 9446,4590 is 2.
Lets's calculate LCM of 226,8075
Given numbers has no common factors except 1. So, there LCM is their product i.e 1824950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1824950
Therefore, the GCF of Fractions 9446/226,4590/8075 is 2/1824950
Least Common Multiple of 226,8075 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 226,8075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,8075) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,8075) x common factors =1 x 1 = 1
LCM(226,8075) = ( 226 × 8075 ) / 1
LCM(226,8075) = 1824950 / 1
LCM(226,8075) = 1824950
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FAQs on GCF of Fractions of 9446/226, 4590/8075
1. What is the HCF of 9446,4590?
The HCF of 9446,4590 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 9446/226, 4590/8075?
Answer: GCF of Numerators as per given numbers 9446/226, 4590/8075 is
GCF of Numerators i.e. for 9446,4590 is 2
LCM of denominators i.e. for 226,8075 is 1824950.
Thus, GCF of Fractions is 2/1824950.Finally, GCF of Fractions for 9446/226, 4590/8075 is 2/1824950.