GCF of 6543/178, 3663/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6543/178, 3663/610 i.e 9/54290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6543/178, 3663/610.
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 6543/178,3663/610?
Given fractions are 6543/178,3663/610
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 6543/178,3663/610, numerators are 6543,3663
Denominators are 178,610
The GCF of 6543,3663 is 9 .
LCM of 178,610 is 54290.
The greatest common factor of 6543/178,3663/610 = [GCF of 6543,3663]/[LCM of 178,610]= 9/54290
Therefore, the GCF of 6543/178,3663/610 is 9/54290.
To find the highest common factor of 6543,3663, we have to find the factors of both numbers and list the highest common factor.
The factors of 6543 are 1, 3, 9, 727, 2181, 6543
The factors of 3663 are 1, 3, 9, 11, 33, 37, 99, 111, 333, 407, 1221, 3663
The HCF of 6543,3663 is 9.
Lets's calculate GCF of 6543,3663
| 3 | 6543, 3663 |
| 3 | 2181, 1221 |
| 727, 407 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6543,3663 By Matching Biggest Common Factor Method
Now, list down the factors of 6543
:1,3,9,727,2181,6543
Now, list down the factors of 3663
:1,3,9,11,33,37,99,111,333,407,1221,3663
Greatest Common Factor
We found the factors 6543,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 6543,3663 is 9.
Lets's calculate LCM of 178,610
| 2 | 178, 610 |
| 89, 305 |
∴ So the LCM of the given numbers is 2 x 89 x 305 = 54290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/54290
Therefore, the GCF of Fractions 6543/178,3663/610 is 9/54290
Least Common Multiple of 178,610 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 178,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(178,610) x common factors =2 x 1 = 2
LCM(178,610) = ( 178 × 610 ) / 2
LCM(178,610) = 108580 / 2
LCM(178,610) = 54290
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FAQs on GCF of Fractions of 6543/178, 3663/610
1. What is the HCF of 6543,3663?
The HCF of 6543,3663 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 6543/178, 3663/610?
Answer: GCF of Numerators as per given numbers 6543/178, 3663/610 is
GCF of Numerators i.e. for 6543,3663 is 9
LCM of denominators i.e. for 178,610 is 54290.
Thus, GCF of Fractions is 9/54290.Finally, GCF of Fractions for 6543/178, 3663/610 is 9/54290.