GCF of 6555/284, 3433/6224
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6555/284, 3433/6224 i.e 1/441904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6555/284, 3433/6224.
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 6555/284,3433/6224?
Given fractions are 6555/284,3433/6224
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 6555/284,3433/6224, numerators are 6555,3433
Denominators are 284,6224
The GCF of 6555,3433 is 1 .
LCM of 284,6224 is 441904.
The greatest common factor of 6555/284,3433/6224 = [GCF of 6555,3433]/[LCM of 284,6224]= 1/441904
Therefore, the GCF of 6555/284,3433/6224 is 1/441904.
To find the highest common factor of 6555,3433, we have to find the factors of both numbers and list the highest common factor.
The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555
The factors of 3433 are 1, 3433
The HCF of 6555,3433 is 1.
Lets's calculate GCF of 6555,3433
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6555,3433 By Matching Biggest Common Factor Method
Now, list down the factors of 6555
:1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555
Now, list down the factors of 3433
:1,3433
Greatest Common Factor
We found the factors 6555,3433 . The biggest common factor number is the GCF number.
So the greatest common factor 6555,3433 is 1.
Lets's calculate LCM of 284,6224
| 2 | 284, 6224 |
| 2 | 142, 3112 |
| 71, 1556 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 1556 = 441904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441904
Therefore, the GCF of Fractions 6555/284,3433/6224 is 1/441904
Least Common Multiple of 284,6224 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 284,6224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,6224) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,6224) x common factors =4 x 1 = 4
LCM(284,6224) = ( 284 × 6224 ) / 4
LCM(284,6224) = 1767616 / 4
LCM(284,6224) = 441904
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FAQs on GCF of Fractions of 6555/284, 3433/6224
1. What is the HCF of 6555,3433?
The HCF of 6555,3433 is 1
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 6555/284, 3433/6224?
Answer: GCF of Numerators as per given numbers 6555/284, 3433/6224 is
GCF of Numerators i.e. for 6555,3433 is 1
LCM of denominators i.e. for 284,6224 is 441904.
Thus, GCF of Fractions is 1/441904.Finally, GCF of Fractions for 6555/284, 3433/6224 is 1/441904.