GCF of 1466/403, 1305/5367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1466/403, 1305/5367 i.e 1/2162901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1466/403, 1305/5367.
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 1466/403,1305/5367?
Given fractions are 1466/403,1305/5367
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 1466/403,1305/5367, numerators are 1466,1305
Denominators are 403,5367
The GCF of 1466,1305 is 1 .
LCM of 403,5367 is 2162901.
The greatest common factor of 1466/403,1305/5367 = [GCF of 1466,1305]/[LCM of 403,5367]= 1/2162901
Therefore, the GCF of 1466/403,1305/5367 is 1/2162901.
To find the highest common factor of 1466,1305, we have to find the factors of both numbers and list the highest common factor.
The factors of 1466 are 1, 2, 733, 1466
The factors of 1305 are 1, 3, 5, 9, 15, 29, 45, 87, 145, 261, 435, 1305
The HCF of 1466,1305 is 1.
Lets's calculate GCF of 1466,1305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1466,1305 By Matching Biggest Common Factor Method
Now, list down the factors of 1466
:1,2,733,1466
Now, list down the factors of 1305
:1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 1466,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 1466,1305 is 1.
Lets's calculate LCM of 403,5367
Given numbers has no common factors except 1. So, there LCM is their product i.e 2162901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2162901
Therefore, the GCF of Fractions 1466/403,1305/5367 is 1/2162901
Least Common Multiple of 403,5367 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 403,5367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,5367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,5367) x common factors =1 x 1 = 1
LCM(403,5367) = ( 403 × 5367 ) / 1
LCM(403,5367) = 2162901 / 1
LCM(403,5367) = 2162901
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FAQs on GCF of Fractions of 1466/403, 1305/5367
1. What is the HCF of 1466,1305?
The HCF of 1466,1305 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 1466/403, 1305/5367?
Answer: GCF of Numerators as per given numbers 1466/403, 1305/5367 is
GCF of Numerators i.e. for 1466,1305 is 1
LCM of denominators i.e. for 403,5367 is 2162901.
Thus, GCF of Fractions is 1/2162901.Finally, GCF of Fractions for 1466/403, 1305/5367 is 1/2162901.