GCF of 271/67, 405/1132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 271/67, 405/1132 i.e 1/75844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 271/67, 405/1132.
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 271/67,405/1132?
Given fractions are 271/67,405/1132
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 271/67,405/1132, numerators are 271,405
Denominators are 67,1132
The GCF of 271,405 is 1 .
LCM of 67,1132 is 75844.
The greatest common factor of 271/67,405/1132 = [GCF of 271,405]/[LCM of 67,1132]= 1/75844
Therefore, the GCF of 271/67,405/1132 is 1/75844.
To find the highest common factor of 271,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 271 are 1, 271
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 271,405 is 1.
Lets's calculate GCF of 271,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 271,405 By Matching Biggest Common Factor Method
Now, list down the factors of 271
:1,271
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 271,405 . The biggest common factor number is the GCF number.
So the greatest common factor 271,405 is 1.
Lets's calculate LCM of 67,1132
Given numbers has no common factors except 1. So, there LCM is their product i.e 75844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75844
Therefore, the GCF of Fractions 271/67,405/1132 is 1/75844
Least Common Multiple of 67,1132 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 67,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,1132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,1132) x common factors =1 x 1 = 1
LCM(67,1132) = ( 67 × 1132 ) / 1
LCM(67,1132) = 75844 / 1
LCM(67,1132) = 75844
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FAQs on GCF of Fractions of 271/67, 405/1132
1. What is the HCF of 271,405?
The HCF of 271,405 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 271/67, 405/1132?
Answer: GCF of Numerators as per given numbers 271/67, 405/1132 is
GCF of Numerators i.e. for 271,405 is 1
LCM of denominators i.e. for 67,1132 is 75844.
Thus, GCF of Fractions is 1/75844.Finally, GCF of Fractions for 271/67, 405/1132 is 1/75844.