GCF of 9693/330, 2130/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9693/330, 2130/575 i.e 3/37950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9693/330, 2130/575.
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 9693/330,2130/575?
Given fractions are 9693/330,2130/575
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 9693/330,2130/575, numerators are 9693,2130
Denominators are 330,575
The GCF of 9693,2130 is 3 .
LCM of 330,575 is 37950.
The greatest common factor of 9693/330,2130/575 = [GCF of 9693,2130]/[LCM of 330,575]= 3/37950
Therefore, the GCF of 9693/330,2130/575 is 3/37950.
To find the highest common factor of 9693,2130, we have to find the factors of both numbers and list the highest common factor.
The factors of 9693 are 1, 3, 9, 27, 359, 1077, 3231, 9693
The factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130
The HCF of 9693,2130 is 3.
Lets's calculate GCF of 9693,2130
| 3 | 9693, 2130 |
| 3231, 710 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9693,2130 By Matching Biggest Common Factor Method
Now, list down the factors of 9693
:1,3,9,27,359,1077,3231,9693
Now, list down the factors of 2130
:1,2,3,5,6,10,15,30,71,142,213,355,426,710,1065,2130
Greatest Common Factor
We found the factors 9693,2130 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,2130 is 3.
Lets's calculate LCM of 330,575
| 5 | 330, 575 |
| 66, 115 |
∴ So the LCM of the given numbers is 5 x 66 x 115 = 37950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/37950
Therefore, the GCF of Fractions 9693/330,2130/575 is 3/37950
Least Common Multiple of 330,575 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 330,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,575) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(330,575) x common factors =5 x 1 = 5
LCM(330,575) = ( 330 × 575 ) / 5
LCM(330,575) = 189750 / 5
LCM(330,575) = 37950
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FAQs on GCF of Fractions of 9693/330, 2130/575
1. What is the HCF of 9693,2130?
The HCF of 9693,2130 is 3
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 9693/330, 2130/575?
Answer: GCF of Numerators as per given numbers 9693/330, 2130/575 is
GCF of Numerators i.e. for 9693,2130 is 3
LCM of denominators i.e. for 330,575 is 37950.
Thus, GCF of Fractions is 3/37950.Finally, GCF of Fractions for 9693/330, 2130/575 is 3/37950.