GCF of 6966/964, 5886/1330
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6966/964, 5886/1330 i.e 54/641060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6966/964, 5886/1330.
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 6966/964,5886/1330?
Given fractions are 6966/964,5886/1330
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 6966/964,5886/1330, numerators are 6966,5886
Denominators are 964,1330
The GCF of 6966,5886 is 54 .
LCM of 964,1330 is 641060.
The greatest common factor of 6966/964,5886/1330 = [GCF of 6966,5886]/[LCM of 964,1330]= 54/641060
Therefore, the GCF of 6966/964,5886/1330 is 54/641060.
To find the highest common factor of 6966,5886, we have to find the factors of both numbers and list the highest common factor.
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The factors of 5886 are 1, 2, 3, 6, 9, 18, 27, 54, 109, 218, 327, 654, 981, 1962, 2943, 5886
The HCF of 6966,5886 is 54.
Lets's calculate GCF of 6966,5886
| 2 | 6966, 5886 |
| 3 | 3483, 2943 |
| 3 | 1161, 981 |
| 3 | 387, 327 |
| 129, 109 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Greatest Common Factor of 6966,5886 By Matching Biggest Common Factor Method
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Now, list down the factors of 5886
:1,2,3,6,9,18,27,54,109,218,327,654,981,1962,2943,5886
Greatest Common Factor
We found the factors 6966,5886 . The biggest common factor number is the GCF number.
So the greatest common factor 6966,5886 is 54.
Lets's calculate LCM of 964,1330
| 2 | 964, 1330 |
| 482, 665 |
∴ So the LCM of the given numbers is 2 x 482 x 665 = 641060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/641060
Therefore, the GCF of Fractions 6966/964,5886/1330 is 54/641060
Least Common Multiple of 964,1330 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 964,1330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,1330) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(964,1330) x common factors =2 x 1 = 2
LCM(964,1330) = ( 964 × 1330 ) / 2
LCM(964,1330) = 1282120 / 2
LCM(964,1330) = 641060
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FAQs on GCF of Fractions of 6966/964, 5886/1330
1. What is the HCF of 6966,5886?
The HCF of 6966,5886 is 54
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 6966/964, 5886/1330?
Answer: GCF of Numerators as per given numbers 6966/964, 5886/1330 is
GCF of Numerators i.e. for 6966,5886 is 54
LCM of denominators i.e. for 964,1330 is 641060.
Thus, GCF of Fractions is 54/641060.Finally, GCF of Fractions for 6966/964, 5886/1330 is 54/641060.