GCF of 5904/309, 6906/826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5904/309, 6906/826 i.e 6/255234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5904/309, 6906/826.
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 5904/309,6906/826?
Given fractions are 5904/309,6906/826
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 5904/309,6906/826, numerators are 5904,6906
Denominators are 309,826
The GCF of 5904,6906 is 6 .
LCM of 309,826 is 255234.
The greatest common factor of 5904/309,6906/826 = [GCF of 5904,6906]/[LCM of 309,826]= 6/255234
Therefore, the GCF of 5904/309,6906/826 is 6/255234.
To find the highest common factor of 5904,6906, we have to find the factors of both numbers and list the highest common factor.
The factors of 5904 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 41, 48, 72, 82, 123, 144, 164, 246, 328, 369, 492, 656, 738, 984, 1476, 1968, 2952, 5904
The factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906
The HCF of 5904,6906 is 6.
Lets's calculate GCF of 5904,6906
| 2 | 5904, 6906 |
| 3 | 2952, 3453 |
| 984, 1151 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5904,6906 By Matching Biggest Common Factor Method
Now, list down the factors of 5904
:1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Now, list down the factors of 6906
:1,2,3,6,1151,2302,3453,6906
Greatest Common Factor
We found the factors 5904,6906 . The biggest common factor number is the GCF number.
So the greatest common factor 5904,6906 is 6.
Lets's calculate LCM of 309,826
Given numbers has no common factors except 1. So, there LCM is their product i.e 255234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/255234
Therefore, the GCF of Fractions 5904/309,6906/826 is 6/255234
Least Common Multiple of 309,826 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 309,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,826) x common factors =1 x 1 = 1
LCM(309,826) = ( 309 × 826 ) / 1
LCM(309,826) = 255234 / 1
LCM(309,826) = 255234
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FAQs on GCF of Fractions of 5904/309, 6906/826
1. What is the HCF of 5904,6906?
The HCF of 5904,6906 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 5904/309, 6906/826?
Answer: GCF of Numerators as per given numbers 5904/309, 6906/826 is
GCF of Numerators i.e. for 5904,6906 is 6
LCM of denominators i.e. for 309,826 is 255234.
Thus, GCF of Fractions is 6/255234.Finally, GCF of Fractions for 5904/309, 6906/826 is 6/255234.