GCF of 9082/885, 7486/205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9082/885, 7486/205 i.e 38/36285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9082/885, 7486/205.
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 9082/885,7486/205?
Given fractions are 9082/885,7486/205
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 9082/885,7486/205, numerators are 9082,7486
Denominators are 885,205
The GCF of 9082,7486 is 38 .
LCM of 885,205 is 36285.
The greatest common factor of 9082/885,7486/205 = [GCF of 9082,7486]/[LCM of 885,205]= 38/36285
Therefore, the GCF of 9082/885,7486/205 is 38/36285.
To find the highest common factor of 9082,7486, we have to find the factors of both numbers and list the highest common factor.
The factors of 9082 are 1, 2, 19, 38, 239, 478, 4541, 9082
The factors of 7486 are 1, 2, 19, 38, 197, 394, 3743, 7486
The HCF of 9082,7486 is 38.
Lets's calculate GCF of 9082,7486
| 2 | 9082, 7486 |
| 19 | 4541, 3743 |
| 239, 197 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 9082,7486 By Matching Biggest Common Factor Method
Now, list down the factors of 9082
:1,2,19,38,239,478,4541,9082
Now, list down the factors of 7486
:1,2,19,38,197,394,3743,7486
Greatest Common Factor
We found the factors 9082,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 9082,7486 is 38.
Lets's calculate LCM of 885,205
| 5 | 885, 205 |
| 177, 41 |
∴ So the LCM of the given numbers is 5 x 177 x 41 = 36285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/36285
Therefore, the GCF of Fractions 9082/885,7486/205 is 38/36285
Least Common Multiple of 885,205 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 885,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(885,205) x common factors =5 x 1 = 5
LCM(885,205) = ( 885 × 205 ) / 5
LCM(885,205) = 181425 / 5
LCM(885,205) = 36285
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FAQs on GCF of Fractions of 9082/885, 7486/205
1. What is the HCF of 9082,7486?
The HCF of 9082,7486 is 38
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 9082/885, 7486/205?
Answer: GCF of Numerators as per given numbers 9082/885, 7486/205 is
GCF of Numerators i.e. for 9082,7486 is 38
LCM of denominators i.e. for 885,205 is 36285.
Thus, GCF of Fractions is 38/36285.Finally, GCF of Fractions for 9082/885, 7486/205 is 38/36285.