GCF of 449/311, 667/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/311, 667/746 i.e 1/232006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/311, 667/746.
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 449/311,667/746?
Given fractions are 449/311,667/746
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 449/311,667/746, numerators are 449,667
Denominators are 311,746
The GCF of 449,667 is 1 .
LCM of 311,746 is 232006.
The greatest common factor of 449/311,667/746 = [GCF of 449,667]/[LCM of 311,746]= 1/232006
Therefore, the GCF of 449/311,667/746 is 1/232006.
To find the highest common factor of 449,667, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 667 are 1, 23, 29, 667
The HCF of 449,667 is 1.
Lets's calculate GCF of 449,667
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,667 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 667
:1,23,29,667
Greatest Common Factor
We found the factors 449,667 . The biggest common factor number is the GCF number.
So the greatest common factor 449,667 is 1.
Lets's calculate LCM of 311,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 232006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232006
Therefore, the GCF of Fractions 449/311,667/746 is 1/232006
Least Common Multiple of 311,746 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 311,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,746) x common factors =1 x 1 = 1
LCM(311,746) = ( 311 × 746 ) / 1
LCM(311,746) = 232006 / 1
LCM(311,746) = 232006
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FAQs on GCF of Fractions of 449/311, 667/746
1. What is the HCF of 449,667?
The HCF of 449,667 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 449/311, 667/746?
Answer: GCF of Numerators as per given numbers 449/311, 667/746 is
GCF of Numerators i.e. for 449,667 is 1
LCM of denominators i.e. for 311,746 is 232006.
Thus, GCF of Fractions is 1/232006.Finally, GCF of Fractions for 449/311, 667/746 is 1/232006.