GCF of 1617/514, 9886/2104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1617/514, 9886/2104 i.e 1/540728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1617/514, 9886/2104.
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 1617/514,9886/2104?
Given fractions are 1617/514,9886/2104
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 1617/514,9886/2104, numerators are 1617,9886
Denominators are 514,2104
The GCF of 1617,9886 is 1 .
LCM of 514,2104 is 540728.
The greatest common factor of 1617/514,9886/2104 = [GCF of 1617,9886]/[LCM of 514,2104]= 1/540728
Therefore, the GCF of 1617/514,9886/2104 is 1/540728.
To find the highest common factor of 1617,9886, 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 9886 are 1, 2, 4943, 9886
The HCF of 1617,9886 is 1.
Lets's calculate GCF of 1617,9886
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1617,9886 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 9886
:1,2,4943,9886
Greatest Common Factor
We found the factors 1617,9886 . The biggest common factor number is the GCF number.
So the greatest common factor 1617,9886 is 1.
Lets's calculate LCM of 514,2104
| 2 | 514, 2104 |
| 257, 1052 |
∴ So the LCM of the given numbers is 2 x 257 x 1052 = 540728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540728
Therefore, the GCF of Fractions 1617/514,9886/2104 is 1/540728
Least Common Multiple of 514,2104 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 514,2104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,2104) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,2104) x common factors =2 x 1 = 2
LCM(514,2104) = ( 514 × 2104 ) / 2
LCM(514,2104) = 1081456 / 2
LCM(514,2104) = 540728
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FAQs on GCF of Fractions of 1617/514, 9886/2104
1. What is the HCF of 1617,9886?
The HCF of 1617,9886 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 1617/514, 9886/2104?
Answer: GCF of Numerators as per given numbers 1617/514, 9886/2104 is
GCF of Numerators i.e. for 1617,9886 is 1
LCM of denominators i.e. for 514,2104 is 540728.
Thus, GCF of Fractions is 1/540728.Finally, GCF of Fractions for 1617/514, 9886/2104 is 1/540728.