GCF of 8306/16, 2649/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8306/16, 2649/620 i.e 1/2480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8306/16, 2649/620.
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 8306/16,2649/620?
Given fractions are 8306/16,2649/620
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 8306/16,2649/620, numerators are 8306,2649
Denominators are 16,620
The GCF of 8306,2649 is 1 .
LCM of 16,620 is 2480.
The greatest common factor of 8306/16,2649/620 = [GCF of 8306,2649]/[LCM of 16,620]= 1/2480
Therefore, the GCF of 8306/16,2649/620 is 1/2480.
To find the highest common factor of 8306,2649, we have to find the factors of both numbers and list the highest common factor.
The factors of 8306 are 1, 2, 4153, 8306
The factors of 2649 are 1, 3, 883, 2649
The HCF of 8306,2649 is 1.
Lets's calculate GCF of 8306,2649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8306,2649 By Matching Biggest Common Factor Method
Now, list down the factors of 8306
:1,2,4153,8306
Now, list down the factors of 2649
:1,3,883,2649
Greatest Common Factor
We found the factors 8306,2649 . The biggest common factor number is the GCF number.
So the greatest common factor 8306,2649 is 1.
Lets's calculate LCM of 16,620
| 2 | 16, 620 |
| 2 | 8, 310 |
| 4, 155 |
∴ So the LCM of the given numbers is 2 x 2 x 4 x 155 = 2480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2480
Therefore, the GCF of Fractions 8306/16,2649/620 is 1/2480
Least Common Multiple of 16,620 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 16,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,620) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(16,620) x common factors =4 x 1 = 4
LCM(16,620) = ( 16 × 620 ) / 4
LCM(16,620) = 9920 / 4
LCM(16,620) = 2480
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FAQs on GCF of Fractions of 8306/16, 2649/620
1. What is the HCF of 8306,2649?
The HCF of 8306,2649 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 8306/16, 2649/620?
Answer: GCF of Numerators as per given numbers 8306/16, 2649/620 is
GCF of Numerators i.e. for 8306,2649 is 1
LCM of denominators i.e. for 16,620 is 2480.
Thus, GCF of Fractions is 1/2480.Finally, GCF of Fractions for 8306/16, 2649/620 is 1/2480.