GCF of 2110/614, 9609/3168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2110/614, 9609/3168 i.e 1/972576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2110/614, 9609/3168.
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 2110/614,9609/3168?
Given fractions are 2110/614,9609/3168
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 2110/614,9609/3168, numerators are 2110,9609
Denominators are 614,3168
The GCF of 2110,9609 is 1 .
LCM of 614,3168 is 972576.
The greatest common factor of 2110/614,9609/3168 = [GCF of 2110,9609]/[LCM of 614,3168]= 1/972576
Therefore, the GCF of 2110/614,9609/3168 is 1/972576.
To find the highest common factor of 2110,9609, we have to find the factors of both numbers and list the highest common factor.
The factors of 2110 are 1, 2, 5, 10, 211, 422, 1055, 2110
The factors of 9609 are 1, 3, 3203, 9609
The HCF of 2110,9609 is 1.
Lets's calculate GCF of 2110,9609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2110,9609 By Matching Biggest Common Factor Method
Now, list down the factors of 2110
:1,2,5,10,211,422,1055,2110
Now, list down the factors of 9609
:1,3,3203,9609
Greatest Common Factor
We found the factors 2110,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 2110,9609 is 1.
Lets's calculate LCM of 614,3168
| 2 | 614, 3168 |
| 307, 1584 |
∴ So the LCM of the given numbers is 2 x 307 x 1584 = 972576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/972576
Therefore, the GCF of Fractions 2110/614,9609/3168 is 1/972576
Least Common Multiple of 614,3168 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 614,3168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,3168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,3168) x common factors =2 x 1 = 2
LCM(614,3168) = ( 614 × 3168 ) / 2
LCM(614,3168) = 1945152 / 2
LCM(614,3168) = 972576
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FAQs on GCF of Fractions of 2110/614, 9609/3168
1. What is the HCF of 2110,9609?
The HCF of 2110,9609 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 2110/614, 9609/3168?
Answer: GCF of Numerators as per given numbers 2110/614, 9609/3168 is
GCF of Numerators i.e. for 2110,9609 is 1
LCM of denominators i.e. for 614,3168 is 972576.
Thus, GCF of Fractions is 1/972576.Finally, GCF of Fractions for 2110/614, 9609/3168 is 1/972576.