GCF of 1617/365, 6187/9105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1617/365, 6187/9105 i.e 1/664665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1617/365, 6187/9105.
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 1617/365,6187/9105?
Given fractions are 1617/365,6187/9105
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 1617/365,6187/9105, numerators are 1617,6187
Denominators are 365,9105
The GCF of 1617,6187 is 1 .
LCM of 365,9105 is 664665.
The greatest common factor of 1617/365,6187/9105 = [GCF of 1617,6187]/[LCM of 365,9105]= 1/664665
Therefore, the GCF of 1617/365,6187/9105 is 1/664665.
To find the highest common factor of 1617,6187, we have to find the factors of both numbers and list the highest common factor.
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The factors of 6187 are 1, 23, 269, 6187
The HCF of 1617,6187 is 1.
Lets's calculate GCF of 1617,6187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1617,6187 By Matching Biggest Common Factor Method
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Now, list down the factors of 6187
:1,23,269,6187
Greatest Common Factor
We found the factors 1617,6187 . The biggest common factor number is the GCF number.
So the greatest common factor 1617,6187 is 1.
Lets's calculate LCM of 365,9105
| 5 | 365, 9105 |
| 73, 1821 |
∴ So the LCM of the given numbers is 5 x 73 x 1821 = 664665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664665
Therefore, the GCF of Fractions 1617/365,6187/9105 is 1/664665
Least Common Multiple of 365,9105 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 365,9105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,9105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,9105) x common factors =5 x 1 = 5
LCM(365,9105) = ( 365 × 9105 ) / 5
LCM(365,9105) = 3323325 / 5
LCM(365,9105) = 664665
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FAQs on GCF of Fractions of 1617/365, 6187/9105
1. What is the HCF of 1617,6187?
The HCF of 1617,6187 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 1617/365, 6187/9105?
Answer: GCF of Numerators as per given numbers 1617/365, 6187/9105 is
GCF of Numerators i.e. for 1617,6187 is 1
LCM of denominators i.e. for 365,9105 is 664665.
Thus, GCF of Fractions is 1/664665.Finally, GCF of Fractions for 1617/365, 6187/9105 is 1/664665.