GCF of 8012/582, 9230/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8012/582, 9230/438 i.e 2/42486 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8012/582, 9230/438.
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 8012/582,9230/438?
Given fractions are 8012/582,9230/438
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 8012/582,9230/438, numerators are 8012,9230
Denominators are 582,438
The GCF of 8012,9230 is 2 .
LCM of 582,438 is 42486.
The greatest common factor of 8012/582,9230/438 = [GCF of 8012,9230]/[LCM of 582,438]= 2/42486
Therefore, the GCF of 8012/582,9230/438 is 2/42486.
To find the highest common factor of 8012,9230, we have to find the factors of both numbers and list the highest common factor.
The factors of 8012 are 1, 2, 4, 2003, 4006, 8012
The factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230
The HCF of 8012,9230 is 2.
Lets's calculate GCF of 8012,9230
| 2 | 8012, 9230 |
| 4006, 4615 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8012,9230 By Matching Biggest Common Factor Method
Now, list down the factors of 8012
:1,2,4,2003,4006,8012
Now, list down the factors of 9230
:1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230
Greatest Common Factor
We found the factors 8012,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 8012,9230 is 2.
Lets's calculate LCM of 582,438
| 2 | 582, 438 |
| 3 | 291, 219 |
| 97, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 73 = 42486
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42486
Therefore, the GCF of Fractions 8012/582,9230/438 is 2/42486
Least Common Multiple of 582,438 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 582,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,438) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,438) x common factors =6 x 1 = 6
LCM(582,438) = ( 582 × 438 ) / 6
LCM(582,438) = 254916 / 6
LCM(582,438) = 42486
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FAQs on GCF of Fractions of 8012/582, 9230/438
1. What is the HCF of 8012,9230?
The HCF of 8012,9230 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 8012/582, 9230/438?
Answer: GCF of Numerators as per given numbers 8012/582, 9230/438 is
GCF of Numerators i.e. for 8012,9230 is 2
LCM of denominators i.e. for 582,438 is 42486.
Thus, GCF of Fractions is 2/42486.Finally, GCF of Fractions for 8012/582, 9230/438 is 2/42486.