GCF of 6156/287, 3339/9893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6156/287, 3339/9893 i.e 9/2839291 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6156/287, 3339/9893.
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 6156/287,3339/9893?
Given fractions are 6156/287,3339/9893
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 6156/287,3339/9893, numerators are 6156,3339
Denominators are 287,9893
The GCF of 6156,3339 is 9 .
LCM of 287,9893 is 2839291.
The greatest common factor of 6156/287,3339/9893 = [GCF of 6156,3339]/[LCM of 287,9893]= 9/2839291
Therefore, the GCF of 6156/287,3339/9893 is 9/2839291.
To find the highest common factor of 6156,3339, we have to find the factors of both numbers and list the highest common factor.
The factors of 6156 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 36, 38, 54, 57, 76, 81, 108, 114, 162, 171, 228, 324, 342, 513, 684, 1026, 1539, 2052, 3078, 6156
The factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339
The HCF of 6156,3339 is 9.
Lets's calculate GCF of 6156,3339
| 3 | 6156, 3339 |
| 3 | 2052, 1113 |
| 684, 371 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6156,3339 By Matching Biggest Common Factor Method
Now, list down the factors of 6156
:1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156
Now, list down the factors of 3339
:1,3,7,9,21,53,63,159,371,477,1113,3339
Greatest Common Factor
We found the factors 6156,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 6156,3339 is 9.
Lets's calculate LCM of 287,9893
Given numbers has no common factors except 1. So, there LCM is their product i.e 2839291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/2839291
Therefore, the GCF of Fractions 6156/287,3339/9893 is 9/2839291
Least Common Multiple of 287,9893 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 287,9893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,9893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,9893) x common factors =1 x 1 = 1
LCM(287,9893) = ( 287 × 9893 ) / 1
LCM(287,9893) = 2839291 / 1
LCM(287,9893) = 2839291
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FAQs on GCF of Fractions of 6156/287, 3339/9893
1. What is the HCF of 6156,3339?
The HCF of 6156,3339 is 9
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 6156/287, 3339/9893?
Answer: GCF of Numerators as per given numbers 6156/287, 3339/9893 is
GCF of Numerators i.e. for 6156,3339 is 9
LCM of denominators i.e. for 287,9893 is 2839291.
Thus, GCF of Fractions is 9/2839291.Finally, GCF of Fractions for 6156/287, 3339/9893 is 9/2839291.