GCF of 545/466, 9159/5365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 545/466, 9159/5365 i.e 1/2500090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 545/466, 9159/5365.
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 545/466,9159/5365?
Given fractions are 545/466,9159/5365
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 545/466,9159/5365, numerators are 545,9159
Denominators are 466,5365
The GCF of 545,9159 is 1 .
LCM of 466,5365 is 2500090.
The greatest common factor of 545/466,9159/5365 = [GCF of 545,9159]/[LCM of 466,5365]= 1/2500090
Therefore, the GCF of 545/466,9159/5365 is 1/2500090.
To find the highest common factor of 545,9159, we have to find the factors of both numbers and list the highest common factor.
The factors of 545 are 1, 5, 109, 545
The factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159
The HCF of 545,9159 is 1.
Lets's calculate GCF of 545,9159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 545,9159 By Matching Biggest Common Factor Method
Now, list down the factors of 545
:1,5,109,545
Now, list down the factors of 9159
:1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 545,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 545,9159 is 1.
Lets's calculate LCM of 466,5365
Given numbers has no common factors except 1. So, there LCM is their product i.e 2500090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2500090
Therefore, the GCF of Fractions 545/466,9159/5365 is 1/2500090
Least Common Multiple of 466,5365 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 466,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,5365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(466,5365) x common factors =1 x 1 = 1
LCM(466,5365) = ( 466 × 5365 ) / 1
LCM(466,5365) = 2500090 / 1
LCM(466,5365) = 2500090
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FAQs on GCF of Fractions of 545/466, 9159/5365
1. What is the HCF of 545,9159?
The HCF of 545,9159 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 545/466, 9159/5365?
Answer: GCF of Numerators as per given numbers 545/466, 9159/5365 is
GCF of Numerators i.e. for 545,9159 is 1
LCM of denominators i.e. for 466,5365 is 2500090.
Thus, GCF of Fractions is 1/2500090.Finally, GCF of Fractions for 545/466, 9159/5365 is 1/2500090.