GCF of 2017/987, 8269/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2017/987, 8269/665 i.e 1/93765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2017/987, 8269/665.
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 2017/987,8269/665?
Given fractions are 2017/987,8269/665
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 2017/987,8269/665, numerators are 2017,8269
Denominators are 987,665
The GCF of 2017,8269 is 1 .
LCM of 987,665 is 93765.
The greatest common factor of 2017/987,8269/665 = [GCF of 2017,8269]/[LCM of 987,665]= 1/93765
Therefore, the GCF of 2017/987,8269/665 is 1/93765.
To find the highest common factor of 2017,8269, we have to find the factors of both numbers and list the highest common factor.
The factors of 2017 are 1, 2017
The factors of 8269 are 1, 8269
The HCF of 2017,8269 is 1.
Lets's calculate GCF of 2017,8269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2017,8269 By Matching Biggest Common Factor Method
Now, list down the factors of 2017
:1,2017
Now, list down the factors of 8269
:1,8269
Greatest Common Factor
We found the factors 2017,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 2017,8269 is 1.
Lets's calculate LCM of 987,665
| 7 | 987, 665 |
| 141, 95 |
∴ So the LCM of the given numbers is 7 x 141 x 95 = 93765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93765
Therefore, the GCF of Fractions 2017/987,8269/665 is 1/93765
Least Common Multiple of 987,665 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 987,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(987,665) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(987,665) x common factors =7 x 1 = 7
LCM(987,665) = ( 987 × 665 ) / 7
LCM(987,665) = 656355 / 7
LCM(987,665) = 93765
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FAQs on GCF of Fractions of 2017/987, 8269/665
1. What is the HCF of 2017,8269?
The HCF of 2017,8269 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 2017/987, 8269/665?
Answer: GCF of Numerators as per given numbers 2017/987, 8269/665 is
GCF of Numerators i.e. for 2017,8269 is 1
LCM of denominators i.e. for 987,665 is 93765.
Thus, GCF of Fractions is 1/93765.Finally, GCF of Fractions for 2017/987, 8269/665 is 1/93765.