GCF of 8343/695, 7803/3075
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8343/695, 7803/3075 i.e 27/427425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8343/695, 7803/3075.
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 8343/695,7803/3075?
Given fractions are 8343/695,7803/3075
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 8343/695,7803/3075, numerators are 8343,7803
Denominators are 695,3075
The GCF of 8343,7803 is 27 .
LCM of 695,3075 is 427425.
The greatest common factor of 8343/695,7803/3075 = [GCF of 8343,7803]/[LCM of 695,3075]= 27/427425
Therefore, the GCF of 8343/695,7803/3075 is 27/427425.
To find the highest common factor of 8343,7803, we have to find the factors of both numbers and list the highest common factor.
The factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343
The factors of 7803 are 1, 3, 9, 17, 27, 51, 153, 289, 459, 867, 2601, 7803
The HCF of 8343,7803 is 27.
Lets's calculate GCF of 8343,7803
| 3 | 8343, 7803 |
| 3 | 2781, 2601 |
| 3 | 927, 867 |
| 309, 289 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 8343,7803 By Matching Biggest Common Factor Method
Now, list down the factors of 8343
:1,3,9,27,81,103,309,927,2781,8343
Now, list down the factors of 7803
:1,3,9,17,27,51,153,289,459,867,2601,7803
Greatest Common Factor
We found the factors 8343,7803 . The biggest common factor number is the GCF number.
So the greatest common factor 8343,7803 is 27.
Lets's calculate LCM of 695,3075
| 5 | 695, 3075 |
| 139, 615 |
∴ So the LCM of the given numbers is 5 x 139 x 615 = 427425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/427425
Therefore, the GCF of Fractions 8343/695,7803/3075 is 27/427425
Least Common Multiple of 695,3075 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 695,3075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,3075) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,3075) x common factors =5 x 1 = 5
LCM(695,3075) = ( 695 × 3075 ) / 5
LCM(695,3075) = 2137125 / 5
LCM(695,3075) = 427425
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FAQs on GCF of Fractions of 8343/695, 7803/3075
1. What is the HCF of 8343,7803?
The HCF of 8343,7803 is 27
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 8343/695, 7803/3075?
Answer: GCF of Numerators as per given numbers 8343/695, 7803/3075 is
GCF of Numerators i.e. for 8343,7803 is 27
LCM of denominators i.e. for 695,3075 is 427425.
Thus, GCF of Fractions is 27/427425.Finally, GCF of Fractions for 8343/695, 7803/3075 is 27/427425.