GCF of 6621/697, 5799/3986
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6621/697, 5799/3986 i.e 3/2778242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6621/697, 5799/3986.
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 6621/697,5799/3986?
Given fractions are 6621/697,5799/3986
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 6621/697,5799/3986, numerators are 6621,5799
Denominators are 697,3986
The GCF of 6621,5799 is 3 .
LCM of 697,3986 is 2778242.
The greatest common factor of 6621/697,5799/3986 = [GCF of 6621,5799]/[LCM of 697,3986]= 3/2778242
Therefore, the GCF of 6621/697,5799/3986 is 3/2778242.
To find the highest common factor of 6621,5799, we have to find the factors of both numbers and list the highest common factor.
The factors of 6621 are 1, 3, 2207, 6621
The factors of 5799 are 1, 3, 1933, 5799
The HCF of 6621,5799 is 3.
Lets's calculate GCF of 6621,5799
| 3 | 6621, 5799 |
| 2207, 1933 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6621,5799 By Matching Biggest Common Factor Method
Now, list down the factors of 6621
:1,3,2207,6621
Now, list down the factors of 5799
:1,3,1933,5799
Greatest Common Factor
We found the factors 6621,5799 . The biggest common factor number is the GCF number.
So the greatest common factor 6621,5799 is 3.
Lets's calculate LCM of 697,3986
Given numbers has no common factors except 1. So, there LCM is their product i.e 2778242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2778242
Therefore, the GCF of Fractions 6621/697,5799/3986 is 3/2778242
Least Common Multiple of 697,3986 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 697,3986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,3986) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,3986) x common factors =1 x 1 = 1
LCM(697,3986) = ( 697 × 3986 ) / 1
LCM(697,3986) = 2778242 / 1
LCM(697,3986) = 2778242
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FAQs on GCF of Fractions of 6621/697, 5799/3986
1. What is the HCF of 6621,5799?
The HCF of 6621,5799 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 6621/697, 5799/3986?
Answer: GCF of Numerators as per given numbers 6621/697, 5799/3986 is
GCF of Numerators i.e. for 6621,5799 is 3
LCM of denominators i.e. for 697,3986 is 2778242.
Thus, GCF of Fractions is 3/2778242.Finally, GCF of Fractions for 6621/697, 5799/3986 is 3/2778242.