GCF of 6666/935, 3564/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6666/935, 3564/391 i.e 66/21505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6666/935, 3564/391.
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 6666/935,3564/391?
Given fractions are 6666/935,3564/391
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 6666/935,3564/391, numerators are 6666,3564
Denominators are 935,391
The GCF of 6666,3564 is 66 .
LCM of 935,391 is 21505.
The greatest common factor of 6666/935,3564/391 = [GCF of 6666,3564]/[LCM of 935,391]= 66/21505
Therefore, the GCF of 6666/935,3564/391 is 66/21505.
To find the highest common factor of 6666,3564, we have to find the factors of both numbers and list the highest common factor.
The factors of 6666 are 1, 2, 3, 6, 11, 22, 33, 66, 101, 202, 303, 606, 1111, 2222, 3333, 6666
The factors of 3564 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 132, 162, 198, 297, 324, 396, 594, 891, 1188, 1782, 3564
The HCF of 6666,3564 is 66.
Lets's calculate GCF of 6666,3564
| 2 | 6666, 3564 |
| 3 | 3333, 1782 |
| 11 | 1111, 594 |
| 101, 54 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Greatest Common Factor of 6666,3564 By Matching Biggest Common Factor Method
Now, list down the factors of 6666
:1,2,3,6,11,22,33,66,101,202,303,606,1111,2222,3333,6666
Now, list down the factors of 3564
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564
Greatest Common Factor
We found the factors 6666,3564 . The biggest common factor number is the GCF number.
So the greatest common factor 6666,3564 is 66.
Lets's calculate LCM of 935,391
| 17 | 935, 391 |
| 55, 23 |
∴ So the LCM of the given numbers is 17 x 55 x 23 = 21505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/21505
Therefore, the GCF of Fractions 6666/935,3564/391 is 66/21505
Least Common Multiple of 935,391 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 935,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,391) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(935,391) x common factors =17 x 1 = 17
LCM(935,391) = ( 935 × 391 ) / 17
LCM(935,391) = 365585 / 17
LCM(935,391) = 21505
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FAQs on GCF of Fractions of 6666/935, 3564/391
1. What is the HCF of 6666,3564?
The HCF of 6666,3564 is 66
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 6666/935, 3564/391?
Answer: GCF of Numerators as per given numbers 6666/935, 3564/391 is
GCF of Numerators i.e. for 6666,3564 is 66
LCM of denominators i.e. for 935,391 is 21505.
Thus, GCF of Fractions is 66/21505.Finally, GCF of Fractions for 6666/935, 3564/391 is 66/21505.