GCF of 6697/519, 6555/7845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6697/519, 6555/7845 i.e 1/1357185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6697/519, 6555/7845.
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 6697/519,6555/7845?
Given fractions are 6697/519,6555/7845
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 6697/519,6555/7845, numerators are 6697,6555
Denominators are 519,7845
The GCF of 6697,6555 is 1 .
LCM of 519,7845 is 1357185.
The greatest common factor of 6697/519,6555/7845 = [GCF of 6697,6555]/[LCM of 519,7845]= 1/1357185
Therefore, the GCF of 6697/519,6555/7845 is 1/1357185.
To find the highest common factor of 6697,6555, we have to find the factors of both numbers and list the highest common factor.
The factors of 6697 are 1, 37, 181, 6697
The factors of 6555 are 1, 3, 5, 15, 19, 23, 57, 69, 95, 115, 285, 345, 437, 1311, 2185, 6555
The HCF of 6697,6555 is 1.
Lets's calculate GCF of 6697,6555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6697,6555 By Matching Biggest Common Factor Method
Now, list down the factors of 6697
:1,37,181,6697
Now, list down the factors of 6555
:1,3,5,15,19,23,57,69,95,115,285,345,437,1311,2185,6555
Greatest Common Factor
We found the factors 6697,6555 . The biggest common factor number is the GCF number.
So the greatest common factor 6697,6555 is 1.
Lets's calculate LCM of 519,7845
| 3 | 519, 7845 |
| 173, 2615 |
∴ So the LCM of the given numbers is 3 x 173 x 2615 = 1357185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1357185
Therefore, the GCF of Fractions 6697/519,6555/7845 is 1/1357185
Least Common Multiple of 519,7845 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 519,7845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,7845) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,7845) x common factors =3 x 1 = 3
LCM(519,7845) = ( 519 × 7845 ) / 3
LCM(519,7845) = 4071555 / 3
LCM(519,7845) = 1357185
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FAQs on GCF of Fractions of 6697/519, 6555/7845
1. What is the HCF of 6697,6555?
The HCF of 6697,6555 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 6697/519, 6555/7845?
Answer: GCF of Numerators as per given numbers 6697/519, 6555/7845 is
GCF of Numerators i.e. for 6697,6555 is 1
LCM of denominators i.e. for 519,7845 is 1357185.
Thus, GCF of Fractions is 1/1357185.Finally, GCF of Fractions for 6697/519, 6555/7845 is 1/1357185.