GCF of 6264/127, 3006/9309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6264/127, 3006/9309 i.e 18/1182243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6264/127, 3006/9309.
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 6264/127,3006/9309?
Given fractions are 6264/127,3006/9309
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 6264/127,3006/9309, numerators are 6264,3006
Denominators are 127,9309
The GCF of 6264,3006 is 18 .
LCM of 127,9309 is 1182243.
The greatest common factor of 6264/127,3006/9309 = [GCF of 6264,3006]/[LCM of 127,9309]= 18/1182243
Therefore, the GCF of 6264/127,3006/9309 is 18/1182243.
To find the highest common factor of 6264,3006, we have to find the factors of both numbers and list the highest common factor.
The factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264
The factors of 3006 are 1, 2, 3, 6, 9, 18, 167, 334, 501, 1002, 1503, 3006
The HCF of 6264,3006 is 18.
Lets's calculate GCF of 6264,3006
| 2 | 6264, 3006 |
| 3 | 3132, 1503 |
| 3 | 1044, 501 |
| 348, 167 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 6264,3006 By Matching Biggest Common Factor Method
Now, list down the factors of 6264
:1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Now, list down the factors of 3006
:1,2,3,6,9,18,167,334,501,1002,1503,3006
Greatest Common Factor
We found the factors 6264,3006 . The biggest common factor number is the GCF number.
So the greatest common factor 6264,3006 is 18.
Lets's calculate LCM of 127,9309
Given numbers has no common factors except 1. So, there LCM is their product i.e 1182243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/1182243
Therefore, the GCF of Fractions 6264/127,3006/9309 is 18/1182243
Least Common Multiple of 127,9309 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 127,9309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,9309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,9309) x common factors =1 x 1 = 1
LCM(127,9309) = ( 127 × 9309 ) / 1
LCM(127,9309) = 1182243 / 1
LCM(127,9309) = 1182243
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FAQs on GCF of Fractions of 6264/127, 3006/9309
1. What is the HCF of 6264,3006?
The HCF of 6264,3006 is 18
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 6264/127, 3006/9309?
Answer: GCF of Numerators as per given numbers 6264/127, 3006/9309 is
GCF of Numerators i.e. for 6264,3006 is 18
LCM of denominators i.e. for 127,9309 is 1182243.
Thus, GCF of Fractions is 18/1182243.Finally, GCF of Fractions for 6264/127, 3006/9309 is 18/1182243.