GCF of 8487/414, 6039/9391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8487/414, 6039/9391 i.e 9/3887874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8487/414, 6039/9391.
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 8487/414,6039/9391?
Given fractions are 8487/414,6039/9391
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 8487/414,6039/9391, numerators are 8487,6039
Denominators are 414,9391
The GCF of 8487,6039 is 9 .
LCM of 414,9391 is 3887874.
The greatest common factor of 8487/414,6039/9391 = [GCF of 8487,6039]/[LCM of 414,9391]= 9/3887874
Therefore, the GCF of 8487/414,6039/9391 is 9/3887874.
To find the highest common factor of 8487,6039, we have to find the factors of both numbers and list the highest common factor.
The factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487
The factors of 6039 are 1, 3, 9, 11, 33, 61, 99, 183, 549, 671, 2013, 6039
The HCF of 8487,6039 is 9.
Lets's calculate GCF of 8487,6039
| 3 | 8487, 6039 |
| 3 | 2829, 2013 |
| 943, 671 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8487,6039 By Matching Biggest Common Factor Method
Now, list down the factors of 8487
:1,3,9,23,41,69,123,207,369,943,2829,8487
Now, list down the factors of 6039
:1,3,9,11,33,61,99,183,549,671,2013,6039
Greatest Common Factor
We found the factors 8487,6039 . The biggest common factor number is the GCF number.
So the greatest common factor 8487,6039 is 9.
Lets's calculate LCM of 414,9391
Given numbers has no common factors except 1. So, there LCM is their product i.e 3887874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3887874
Therefore, the GCF of Fractions 8487/414,6039/9391 is 9/3887874
Least Common Multiple of 414,9391 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 414,9391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,9391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(414,9391) x common factors =1 x 1 = 1
LCM(414,9391) = ( 414 × 9391 ) / 1
LCM(414,9391) = 3887874 / 1
LCM(414,9391) = 3887874
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FAQs on GCF of Fractions of 8487/414, 6039/9391
1. What is the HCF of 8487,6039?
The HCF of 8487,6039 is 9
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 8487/414, 6039/9391?
Answer: GCF of Numerators as per given numbers 8487/414, 6039/9391 is
GCF of Numerators i.e. for 8487,6039 is 9
LCM of denominators i.e. for 414,9391 is 3887874.
Thus, GCF of Fractions is 9/3887874.Finally, GCF of Fractions for 8487/414, 6039/9391 is 9/3887874.