GCF of 3267/469, 6615/781
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3267/469, 6615/781 i.e 27/366289 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3267/469, 6615/781.
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 3267/469,6615/781?
Given fractions are 3267/469,6615/781
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 3267/469,6615/781, numerators are 3267,6615
Denominators are 469,781
The GCF of 3267,6615 is 27 .
LCM of 469,781 is 366289.
The greatest common factor of 3267/469,6615/781 = [GCF of 3267,6615]/[LCM of 469,781]= 27/366289
Therefore, the GCF of 3267/469,6615/781 is 27/366289.
To find the highest common factor of 3267,6615, we have to find the factors of both numbers and list the highest common factor.
The factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267
The factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615
The HCF of 3267,6615 is 27.
Lets's calculate GCF of 3267,6615
| 3 | 3267, 6615 |
| 3 | 1089, 2205 |
| 3 | 363, 735 |
| 121, 245 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 3267,6615 By Matching Biggest Common Factor Method
Now, list down the factors of 3267
:1,3,9,11,27,33,99,121,297,363,1089,3267
Now, list down the factors of 6615
:1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615
Greatest Common Factor
We found the factors 3267,6615 . The biggest common factor number is the GCF number.
So the greatest common factor 3267,6615 is 27.
Lets's calculate LCM of 469,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 366289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/366289
Therefore, the GCF of Fractions 3267/469,6615/781 is 27/366289
Least Common Multiple of 469,781 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 469,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,781) x common factors =1 x 1 = 1
LCM(469,781) = ( 469 × 781 ) / 1
LCM(469,781) = 366289 / 1
LCM(469,781) = 366289
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FAQs on GCF of Fractions of 3267/469, 6615/781
1. What is the HCF of 3267,6615?
The HCF of 3267,6615 is 27
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 3267/469, 6615/781?
Answer: GCF of Numerators as per given numbers 3267/469, 6615/781 is
GCF of Numerators i.e. for 3267,6615 is 27
LCM of denominators i.e. for 469,781 is 366289.
Thus, GCF of Fractions is 27/366289.Finally, GCF of Fractions for 3267/469, 6615/781 is 27/366289.