GCF of 6156/416, 8244/6851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6156/416, 8244/6851 i.e 36/219232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6156/416, 8244/6851.
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 6156/416,8244/6851?
Given fractions are 6156/416,8244/6851
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 6156/416,8244/6851, numerators are 6156,8244
Denominators are 416,6851
The GCF of 6156,8244 is 36 .
LCM of 416,6851 is 219232.
The greatest common factor of 6156/416,8244/6851 = [GCF of 6156,8244]/[LCM of 416,6851]= 36/219232
Therefore, the GCF of 6156/416,8244/6851 is 36/219232.
To find the highest common factor of 6156,8244, 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 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244
The HCF of 6156,8244 is 36.
Lets's calculate GCF of 6156,8244
| 2 | 6156, 8244 |
| 2 | 3078, 4122 |
| 3 | 1539, 2061 |
| 3 | 513, 687 |
| 171, 229 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 6156,8244 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 8244
:1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244
Greatest Common Factor
We found the factors 6156,8244 . The biggest common factor number is the GCF number.
So the greatest common factor 6156,8244 is 36.
Lets's calculate LCM of 416,6851
| 13 | 416, 6851 |
| 32, 527 |
∴ So the LCM of the given numbers is 13 x 32 x 527 = 219232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/219232
Therefore, the GCF of Fractions 6156/416,8244/6851 is 36/219232
Least Common Multiple of 416,6851 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 416,6851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,6851) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(416,6851) x common factors =13 x 1 = 13
LCM(416,6851) = ( 416 × 6851 ) / 13
LCM(416,6851) = 2850016 / 13
LCM(416,6851) = 219232
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FAQs on GCF of Fractions of 6156/416, 8244/6851
1. What is the HCF of 6156,8244?
The HCF of 6156,8244 is 36
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 6156/416, 8244/6851?
Answer: GCF of Numerators as per given numbers 6156/416, 8244/6851 is
GCF of Numerators i.e. for 6156,8244 is 36
LCM of denominators i.e. for 416,6851 is 219232.
Thus, GCF of Fractions is 36/219232.Finally, GCF of Fractions for 6156/416, 8244/6851 is 36/219232.