GCF of 9315/216, 6809/9702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9315/216, 6809/9702 i.e 1/116424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9315/216, 6809/9702.
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 9315/216,6809/9702?
Given fractions are 9315/216,6809/9702
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 9315/216,6809/9702, numerators are 9315,6809
Denominators are 216,9702
The GCF of 9315,6809 is 1 .
LCM of 216,9702 is 116424.
The greatest common factor of 9315/216,6809/9702 = [GCF of 9315,6809]/[LCM of 216,9702]= 1/116424
Therefore, the GCF of 9315/216,6809/9702 is 1/116424.
To find the highest common factor of 9315,6809, we have to find the factors of both numbers and list the highest common factor.
The factors of 9315 are 1, 3, 5, 9, 15, 23, 27, 45, 69, 81, 115, 135, 207, 345, 405, 621, 1035, 1863, 3105, 9315
The factors of 6809 are 1, 11, 619, 6809
The HCF of 9315,6809 is 1.
Lets's calculate GCF of 9315,6809
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9315,6809 By Matching Biggest Common Factor Method
Now, list down the factors of 9315
:1,3,5,9,15,23,27,45,69,81,115,135,207,345,405,621,1035,1863,3105,9315
Now, list down the factors of 6809
:1,11,619,6809
Greatest Common Factor
We found the factors 9315,6809 . The biggest common factor number is the GCF number.
So the greatest common factor 9315,6809 is 1.
Lets's calculate LCM of 216,9702
| 2 | 216, 9702 |
| 3 | 108, 4851 |
| 3 | 36, 1617 |
| 12, 539 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 12 x 539 = 116424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116424
Therefore, the GCF of Fractions 9315/216,6809/9702 is 1/116424
Least Common Multiple of 216,9702 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 216,9702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(216,9702) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(216,9702) x common factors =18 x 1 = 18
LCM(216,9702) = ( 216 × 9702 ) / 18
LCM(216,9702) = 2095632 / 18
LCM(216,9702) = 116424
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FAQs on GCF of Fractions of 9315/216, 6809/9702
1. What is the HCF of 9315,6809?
The HCF of 9315,6809 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 9315/216, 6809/9702?
Answer: GCF of Numerators as per given numbers 9315/216, 6809/9702 is
GCF of Numerators i.e. for 9315,6809 is 1
LCM of denominators i.e. for 216,9702 is 116424.
Thus, GCF of Fractions is 1/116424.Finally, GCF of Fractions for 9315/216, 6809/9702 is 1/116424.