GCF of 9675/291, 2040/797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9675/291, 2040/797 i.e 15/231927 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9675/291, 2040/797.
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 9675/291,2040/797?
Given fractions are 9675/291,2040/797
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 9675/291,2040/797, numerators are 9675,2040
Denominators are 291,797
The GCF of 9675,2040 is 15 .
LCM of 291,797 is 231927.
The greatest common factor of 9675/291,2040/797 = [GCF of 9675,2040]/[LCM of 291,797]= 15/231927
Therefore, the GCF of 9675/291,2040/797 is 15/231927.
To find the highest common factor of 9675,2040, we have to find the factors of both numbers and list the highest common factor.
The factors of 9675 are 1, 3, 5, 9, 15, 25, 43, 45, 75, 129, 215, 225, 387, 645, 1075, 1935, 3225, 9675
The factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040
The HCF of 9675,2040 is 15.
Lets's calculate GCF of 9675,2040
| 3 | 9675, 2040 |
| 5 | 3225, 680 |
| 645, 136 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9675,2040 By Matching Biggest Common Factor Method
Now, list down the factors of 9675
:1,3,5,9,15,25,43,45,75,129,215,225,387,645,1075,1935,3225,9675
Now, list down the factors of 2040
:1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 9675,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 9675,2040 is 15.
Lets's calculate LCM of 291,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 231927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/231927
Therefore, the GCF of Fractions 9675/291,2040/797 is 15/231927
Least Common Multiple of 291,797 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 291,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,797) x common factors =1 x 1 = 1
LCM(291,797) = ( 291 × 797 ) / 1
LCM(291,797) = 231927 / 1
LCM(291,797) = 231927
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FAQs on GCF of Fractions of 9675/291, 2040/797
1. What is the HCF of 9675,2040?
The HCF of 9675,2040 is 15
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 9675/291, 2040/797?
Answer: GCF of Numerators as per given numbers 9675/291, 2040/797 is
GCF of Numerators i.e. for 9675,2040 is 15
LCM of denominators i.e. for 291,797 is 231927.
Thus, GCF of Fractions is 15/231927.Finally, GCF of Fractions for 9675/291, 2040/797 is 15/231927.