GCF of 230/69, 450/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 230/69, 450/488 i.e 10/33672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/69, 450/488.
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 230/69,450/488?
Given fractions are 230/69,450/488
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 230/69,450/488, numerators are 230,450
Denominators are 69,488
The GCF of 230,450 is 10 .
LCM of 69,488 is 33672.
The greatest common factor of 230/69,450/488 = [GCF of 230,450]/[LCM of 69,488]= 10/33672
Therefore, the GCF of 230/69,450/488 is 10/33672.
To find the highest common factor of 230,450, we have to find the factors of both numbers and list the highest common factor.
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The HCF of 230,450 is 10.
Lets's calculate GCF of 230,450
| 2 | 230, 450 |
| 5 | 115, 225 |
| 23, 45 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 230,450 By Matching Biggest Common Factor Method
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 230,450 . The biggest common factor number is the GCF number.
So the greatest common factor 230,450 is 10.
Lets's calculate LCM of 69,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 33672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/33672
Therefore, the GCF of Fractions 230/69,450/488 is 10/33672
Least Common Multiple of 69,488 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 69,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,488) x common factors =1 x 1 = 1
LCM(69,488) = ( 69 × 488 ) / 1
LCM(69,488) = 33672 / 1
LCM(69,488) = 33672
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FAQs on GCF of Fractions of 230/69, 450/488
1. What is the HCF of 230,450?
The HCF of 230,450 is 10
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 230/69, 450/488?
Answer: GCF of Numerators as per given numbers 230/69, 450/488 is
GCF of Numerators i.e. for 230,450 is 10
LCM of denominators i.e. for 69,488 is 33672.
Thus, GCF of Fractions is 10/33672.Finally, GCF of Fractions for 230/69, 450/488 is 10/33672.