GCF of 449/465, 824/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/465, 824/709 i.e 1/329685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/465, 824/709.
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 449/465,824/709?
Given fractions are 449/465,824/709
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 449/465,824/709, numerators are 449,824
Denominators are 465,709
The GCF of 449,824 is 1 .
LCM of 465,709 is 329685.
The greatest common factor of 449/465,824/709 = [GCF of 449,824]/[LCM of 465,709]= 1/329685
Therefore, the GCF of 449/465,824/709 is 1/329685.
To find the highest common factor of 449,824, 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 824 are 1, 2, 4, 8, 103, 206, 412, 824
The HCF of 449,824 is 1.
Lets's calculate GCF of 449,824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,824 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 824
:1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 449,824 . The biggest common factor number is the GCF number.
So the greatest common factor 449,824 is 1.
Lets's calculate LCM of 465,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 329685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329685
Therefore, the GCF of Fractions 449/465,824/709 is 1/329685
Least Common Multiple of 465,709 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 465,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,709) x common factors =1 x 1 = 1
LCM(465,709) = ( 465 × 709 ) / 1
LCM(465,709) = 329685 / 1
LCM(465,709) = 329685
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FAQs on GCF of Fractions of 449/465, 824/709
1. What is the HCF of 449,824?
The HCF of 449,824 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 449/465, 824/709?
Answer: GCF of Numerators as per given numbers 449/465, 824/709 is
GCF of Numerators i.e. for 449,824 is 1
LCM of denominators i.e. for 465,709 is 329685.
Thus, GCF of Fractions is 1/329685.Finally, GCF of Fractions for 449/465, 824/709 is 1/329685.