GCF of 6173/460, 3404/5783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6173/460, 3404/5783 i.e 1/2660180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6173/460, 3404/5783.
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 6173/460,3404/5783?
Given fractions are 6173/460,3404/5783
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 6173/460,3404/5783, numerators are 6173,3404
Denominators are 460,5783
The GCF of 6173,3404 is 1 .
LCM of 460,5783 is 2660180.
The greatest common factor of 6173/460,3404/5783 = [GCF of 6173,3404]/[LCM of 460,5783]= 1/2660180
Therefore, the GCF of 6173/460,3404/5783 is 1/2660180.
To find the highest common factor of 6173,3404, we have to find the factors of both numbers and list the highest common factor.
The factors of 6173 are 1, 6173
The factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404
The HCF of 6173,3404 is 1.
Lets's calculate GCF of 6173,3404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6173,3404 By Matching Biggest Common Factor Method
Now, list down the factors of 6173
:1,6173
Now, list down the factors of 3404
:1,2,4,23,37,46,74,92,148,851,1702,3404
Greatest Common Factor
We found the factors 6173,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 6173,3404 is 1.
Lets's calculate LCM of 460,5783
Given numbers has no common factors except 1. So, there LCM is their product i.e 2660180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2660180
Therefore, the GCF of Fractions 6173/460,3404/5783 is 1/2660180
Least Common Multiple of 460,5783 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 460,5783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,5783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,5783) x common factors =1 x 1 = 1
LCM(460,5783) = ( 460 × 5783 ) / 1
LCM(460,5783) = 2660180 / 1
LCM(460,5783) = 2660180
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FAQs on GCF of Fractions of 6173/460, 3404/5783
1. What is the HCF of 6173,3404?
The HCF of 6173,3404 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 6173/460, 3404/5783?
Answer: GCF of Numerators as per given numbers 6173/460, 3404/5783 is
GCF of Numerators i.e. for 6173,3404 is 1
LCM of denominators i.e. for 460,5783 is 2660180.
Thus, GCF of Fractions is 1/2660180.Finally, GCF of Fractions for 6173/460, 3404/5783 is 1/2660180.