GCF of 405/35, 281/1753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 405/35, 281/1753 i.e 1/61355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 405/35, 281/1753.
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 405/35,281/1753?
Given fractions are 405/35,281/1753
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 405/35,281/1753, numerators are 405,281
Denominators are 35,1753
The GCF of 405,281 is 1 .
LCM of 35,1753 is 61355.
The greatest common factor of 405/35,281/1753 = [GCF of 405,281]/[LCM of 35,1753]= 1/61355
Therefore, the GCF of 405/35,281/1753 is 1/61355.
To find the highest common factor of 405,281, we have to find the factors of both numbers and list the highest common factor.
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The factors of 281 are 1, 281
The HCF of 405,281 is 1.
Lets's calculate GCF of 405,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 405,281 By Matching Biggest Common Factor Method
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Now, list down the factors of 281
:1,281
Greatest Common Factor
We found the factors 405,281 . The biggest common factor number is the GCF number.
So the greatest common factor 405,281 is 1.
Lets's calculate LCM of 35,1753
Given numbers has no common factors except 1. So, there LCM is their product i.e 61355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61355
Therefore, the GCF of Fractions 405/35,281/1753 is 1/61355
Least Common Multiple of 35,1753 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 35,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,1753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,1753) x common factors =1 x 1 = 1
LCM(35,1753) = ( 35 × 1753 ) / 1
LCM(35,1753) = 61355 / 1
LCM(35,1753) = 61355
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FAQs on GCF of Fractions of 405/35, 281/1753
1. What is the HCF of 405,281?
The HCF of 405,281 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 405/35, 281/1753?
Answer: GCF of Numerators as per given numbers 405/35, 281/1753 is
GCF of Numerators i.e. for 405,281 is 1
LCM of denominators i.e. for 35,1753 is 61355.
Thus, GCF of Fractions is 1/61355.Finally, GCF of Fractions for 405/35, 281/1753 is 1/61355.