GCF of 6603/605, 2649/7379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6603/605, 2649/7379 i.e 3/4464295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6603/605, 2649/7379.
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 6603/605,2649/7379?
Given fractions are 6603/605,2649/7379
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 6603/605,2649/7379, numerators are 6603,2649
Denominators are 605,7379
The GCF of 6603,2649 is 3 .
LCM of 605,7379 is 4464295.
The greatest common factor of 6603/605,2649/7379 = [GCF of 6603,2649]/[LCM of 605,7379]= 3/4464295
Therefore, the GCF of 6603/605,2649/7379 is 3/4464295.
To find the highest common factor of 6603,2649, we have to find the factors of both numbers and list the highest common factor.
The factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603
The factors of 2649 are 1, 3, 883, 2649
The HCF of 6603,2649 is 3.
Lets's calculate GCF of 6603,2649
| 3 | 6603, 2649 |
| 2201, 883 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6603,2649 By Matching Biggest Common Factor Method
Now, list down the factors of 6603
:1,3,31,71,93,213,2201,6603
Now, list down the factors of 2649
:1,3,883,2649
Greatest Common Factor
We found the factors 6603,2649 . The biggest common factor number is the GCF number.
So the greatest common factor 6603,2649 is 3.
Lets's calculate LCM of 605,7379
Given numbers has no common factors except 1. So, there LCM is their product i.e 4464295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4464295
Therefore, the GCF of Fractions 6603/605,2649/7379 is 3/4464295
Least Common Multiple of 605,7379 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 605,7379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,7379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,7379) x common factors =1 x 1 = 1
LCM(605,7379) = ( 605 × 7379 ) / 1
LCM(605,7379) = 4464295 / 1
LCM(605,7379) = 4464295
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FAQs on GCF of Fractions of 6603/605, 2649/7379
1. What is the HCF of 6603,2649?
The HCF of 6603,2649 is 3
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 6603/605, 2649/7379?
Answer: GCF of Numerators as per given numbers 6603/605, 2649/7379 is
GCF of Numerators i.e. for 6603,2649 is 3
LCM of denominators i.e. for 605,7379 is 4464295.
Thus, GCF of Fractions is 3/4464295.Finally, GCF of Fractions for 6603/605, 2649/7379 is 3/4464295.