GCF of 6594/149, 8136/8746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6594/149, 8136/8746 i.e 6/1303154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6594/149, 8136/8746.
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 6594/149,8136/8746?
Given fractions are 6594/149,8136/8746
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 6594/149,8136/8746, numerators are 6594,8136
Denominators are 149,8746
The GCF of 6594,8136 is 6 .
LCM of 149,8746 is 1303154.
The greatest common factor of 6594/149,8136/8746 = [GCF of 6594,8136]/[LCM of 149,8746]= 6/1303154
Therefore, the GCF of 6594/149,8136/8746 is 6/1303154.
To find the highest common factor of 6594,8136, we have to find the factors of both numbers and list the highest common factor.
The factors of 6594 are 1, 2, 3, 6, 7, 14, 21, 42, 157, 314, 471, 942, 1099, 2198, 3297, 6594
The factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The HCF of 6594,8136 is 6.
Lets's calculate GCF of 6594,8136
| 2 | 6594, 8136 |
| 3 | 3297, 4068 |
| 1099, 1356 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6594,8136 By Matching Biggest Common Factor Method
Now, list down the factors of 6594
:1,2,3,6,7,14,21,42,157,314,471,942,1099,2198,3297,6594
Now, list down the factors of 8136
:1,2,3,4,6,8,9,12,18,24,36,72,113,226,339,452,678,904,1017,1356,2034,2712,4068,8136
Greatest Common Factor
We found the factors 6594,8136 . The biggest common factor number is the GCF number.
So the greatest common factor 6594,8136 is 6.
Lets's calculate LCM of 149,8746
Given numbers has no common factors except 1. So, there LCM is their product i.e 1303154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1303154
Therefore, the GCF of Fractions 6594/149,8136/8746 is 6/1303154
Least Common Multiple of 149,8746 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 149,8746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,8746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,8746) x common factors =1 x 1 = 1
LCM(149,8746) = ( 149 × 8746 ) / 1
LCM(149,8746) = 1303154 / 1
LCM(149,8746) = 1303154
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FAQs on GCF of Fractions of 6594/149, 8136/8746
1. What is the HCF of 6594,8136?
The HCF of 6594,8136 is 6
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 6594/149, 8136/8746?
Answer: GCF of Numerators as per given numbers 6594/149, 8136/8746 is
GCF of Numerators i.e. for 6594,8136 is 6
LCM of denominators i.e. for 149,8746 is 1303154.
Thus, GCF of Fractions is 6/1303154.Finally, GCF of Fractions for 6594/149, 8136/8746 is 6/1303154.