GCF of 457/104, 3267/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/104, 3267/433 i.e 1/45032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/104, 3267/433.
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 457/104,3267/433?
Given fractions are 457/104,3267/433
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 457/104,3267/433, numerators are 457,3267
Denominators are 104,433
The GCF of 457,3267 is 1 .
LCM of 104,433 is 45032.
The greatest common factor of 457/104,3267/433 = [GCF of 457,3267]/[LCM of 104,433]= 1/45032
Therefore, the GCF of 457/104,3267/433 is 1/45032.
To find the highest common factor of 457,3267, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 3267 are 1, 3, 9, 11, 27, 33, 99, 121, 297, 363, 1089, 3267
The HCF of 457,3267 is 1.
Lets's calculate GCF of 457,3267
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 457,3267 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 3267
:1,3,9,11,27,33,99,121,297,363,1089,3267
Greatest Common Factor
We found the factors 457,3267 . The biggest common factor number is the GCF number.
So the greatest common factor 457,3267 is 1.
Lets's calculate LCM of 104,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 45032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45032
Therefore, the GCF of Fractions 457/104,3267/433 is 1/45032
Least Common Multiple of 104,433 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 104,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,433) x common factors =1 x 1 = 1
LCM(104,433) = ( 104 × 433 ) / 1
LCM(104,433) = 45032 / 1
LCM(104,433) = 45032
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FAQs on GCF of Fractions of 457/104, 3267/433
1. What is the HCF of 457,3267?
The HCF of 457,3267 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 457/104, 3267/433?
Answer: GCF of Numerators as per given numbers 457/104, 3267/433 is
GCF of Numerators i.e. for 457,3267 is 1
LCM of denominators i.e. for 104,433 is 45032.
Thus, GCF of Fractions is 1/45032.Finally, GCF of Fractions for 457/104, 3267/433 is 1/45032.