GCF of 5590/197, 6591/9826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5590/197, 6591/9826 i.e 13/1935722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5590/197, 6591/9826.
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 5590/197,6591/9826?
Given fractions are 5590/197,6591/9826
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 5590/197,6591/9826, numerators are 5590,6591
Denominators are 197,9826
The GCF of 5590,6591 is 13 .
LCM of 197,9826 is 1935722.
The greatest common factor of 5590/197,6591/9826 = [GCF of 5590,6591]/[LCM of 197,9826]= 13/1935722
Therefore, the GCF of 5590/197,6591/9826 is 13/1935722.
To find the highest common factor of 5590,6591, we have to find the factors of both numbers and list the highest common factor.
The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
The factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591
The HCF of 5590,6591 is 13.
Lets's calculate GCF of 5590,6591
| 13 | 5590, 6591 |
| 430, 507 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5590,6591 By Matching Biggest Common Factor Method
Now, list down the factors of 5590
:1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Now, list down the factors of 6591
:1,3,13,39,169,507,2197,6591
Greatest Common Factor
We found the factors 5590,6591 . The biggest common factor number is the GCF number.
So the greatest common factor 5590,6591 is 13.
Lets's calculate LCM of 197,9826
Given numbers has no common factors except 1. So, there LCM is their product i.e 1935722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1935722
Therefore, the GCF of Fractions 5590/197,6591/9826 is 13/1935722
Least Common Multiple of 197,9826 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 197,9826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,9826) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,9826) x common factors =1 x 1 = 1
LCM(197,9826) = ( 197 × 9826 ) / 1
LCM(197,9826) = 1935722 / 1
LCM(197,9826) = 1935722
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FAQs on GCF of Fractions of 5590/197, 6591/9826
1. What is the HCF of 5590,6591?
The HCF of 5590,6591 is 13
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 5590/197, 6591/9826?
Answer: GCF of Numerators as per given numbers 5590/197, 6591/9826 is
GCF of Numerators i.e. for 5590,6591 is 13
LCM of denominators i.e. for 197,9826 is 1935722.
Thus, GCF of Fractions is 13/1935722.Finally, GCF of Fractions for 5590/197, 6591/9826 is 13/1935722.