GCF of 2230/474, 9633/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2230/474, 9633/366 i.e 1/28914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2230/474, 9633/366.
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 2230/474,9633/366?
Given fractions are 2230/474,9633/366
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 2230/474,9633/366, numerators are 2230,9633
Denominators are 474,366
The GCF of 2230,9633 is 1 .
LCM of 474,366 is 28914.
The greatest common factor of 2230/474,9633/366 = [GCF of 2230,9633]/[LCM of 474,366]= 1/28914
Therefore, the GCF of 2230/474,9633/366 is 1/28914.
To find the highest common factor of 2230,9633, we have to find the factors of both numbers and list the highest common factor.
The factors of 2230 are 1, 2, 5, 10, 223, 446, 1115, 2230
The factors of 9633 are 1, 3, 13, 19, 39, 57, 169, 247, 507, 741, 3211, 9633
The HCF of 2230,9633 is 1.
Lets's calculate GCF of 2230,9633
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2230,9633 By Matching Biggest Common Factor Method
Now, list down the factors of 2230
:1,2,5,10,223,446,1115,2230
Now, list down the factors of 9633
:1,3,13,19,39,57,169,247,507,741,3211,9633
Greatest Common Factor
We found the factors 2230,9633 . The biggest common factor number is the GCF number.
So the greatest common factor 2230,9633 is 1.
Lets's calculate LCM of 474,366
| 2 | 474, 366 |
| 3 | 237, 183 |
| 79, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 61 = 28914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28914
Therefore, the GCF of Fractions 2230/474,9633/366 is 1/28914
Least Common Multiple of 474,366 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 474,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,366) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(474,366) x common factors =6 x 1 = 6
LCM(474,366) = ( 474 × 366 ) / 6
LCM(474,366) = 173484 / 6
LCM(474,366) = 28914
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FAQs on GCF of Fractions of 2230/474, 9633/366
1. What is the HCF of 2230,9633?
The HCF of 2230,9633 is 1
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 2230/474, 9633/366?
Answer: GCF of Numerators as per given numbers 2230/474, 9633/366 is
GCF of Numerators i.e. for 2230,9633 is 1
LCM of denominators i.e. for 474,366 is 28914.
Thus, GCF of Fractions is 1/28914.Finally, GCF of Fractions for 2230/474, 9633/366 is 1/28914.