GCF of 6607/220, 5838/2223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6607/220, 5838/2223 i.e 1/489060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6607/220, 5838/2223.
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 6607/220,5838/2223?
Given fractions are 6607/220,5838/2223
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 6607/220,5838/2223, numerators are 6607,5838
Denominators are 220,2223
The GCF of 6607,5838 is 1 .
LCM of 220,2223 is 489060.
The greatest common factor of 6607/220,5838/2223 = [GCF of 6607,5838]/[LCM of 220,2223]= 1/489060
Therefore, the GCF of 6607/220,5838/2223 is 1/489060.
To find the highest common factor of 6607,5838, we have to find the factors of both numbers and list the highest common factor.
The factors of 6607 are 1, 6607
The factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838
The HCF of 6607,5838 is 1.
Lets's calculate GCF of 6607,5838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6607,5838 By Matching Biggest Common Factor Method
Now, list down the factors of 6607
:1,6607
Now, list down the factors of 5838
:1,2,3,6,7,14,21,42,139,278,417,834,973,1946,2919,5838
Greatest Common Factor
We found the factors 6607,5838 . The biggest common factor number is the GCF number.
So the greatest common factor 6607,5838 is 1.
Lets's calculate LCM of 220,2223
Given numbers has no common factors except 1. So, there LCM is their product i.e 489060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489060
Therefore, the GCF of Fractions 6607/220,5838/2223 is 1/489060
Least Common Multiple of 220,2223 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 220,2223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,2223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(220,2223) x common factors =1 x 1 = 1
LCM(220,2223) = ( 220 × 2223 ) / 1
LCM(220,2223) = 489060 / 1
LCM(220,2223) = 489060
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FAQs on GCF of Fractions of 6607/220, 5838/2223
1. What is the HCF of 6607,5838?
The HCF of 6607,5838 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 6607/220, 5838/2223?
Answer: GCF of Numerators as per given numbers 6607/220, 5838/2223 is
GCF of Numerators i.e. for 6607,5838 is 1
LCM of denominators i.e. for 220,2223 is 489060.
Thus, GCF of Fractions is 1/489060.Finally, GCF of Fractions for 6607/220, 5838/2223 is 1/489060.