GCF of 535/408, 449/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 535/408, 449/465 i.e 1/63240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 535/408, 449/465.
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 535/408,449/465?
Given fractions are 535/408,449/465
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 535/408,449/465, numerators are 535,449
Denominators are 408,465
The GCF of 535,449 is 1 .
LCM of 408,465 is 63240.
The greatest common factor of 535/408,449/465 = [GCF of 535,449]/[LCM of 408,465]= 1/63240
Therefore, the GCF of 535/408,449/465 is 1/63240.
To find the highest common factor of 535,449, we have to find the factors of both numbers and list the highest common factor.
The factors of 535 are 1, 5, 107, 535
The factors of 449 are 1, 449
The HCF of 535,449 is 1.
Lets's calculate GCF of 535,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 535,449 By Matching Biggest Common Factor Method
Now, list down the factors of 535
:1,5,107,535
Now, list down the factors of 449
:1,449
Greatest Common Factor
We found the factors 535,449 . The biggest common factor number is the GCF number.
So the greatest common factor 535,449 is 1.
Lets's calculate LCM of 408,465
| 3 | 408, 465 |
| 136, 155 |
∴ So the LCM of the given numbers is 3 x 136 x 155 = 63240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63240
Therefore, the GCF of Fractions 535/408,449/465 is 1/63240
Least Common Multiple of 408,465 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 408,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,465) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(408,465) x common factors =3 x 1 = 3
LCM(408,465) = ( 408 × 465 ) / 3
LCM(408,465) = 189720 / 3
LCM(408,465) = 63240
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FAQs on GCF of Fractions of 535/408, 449/465
1. What is the HCF of 535,449?
The HCF of 535,449 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 535/408, 449/465?
Answer: GCF of Numerators as per given numbers 535/408, 449/465 is
GCF of Numerators i.e. for 535,449 is 1
LCM of denominators i.e. for 408,465 is 63240.
Thus, GCF of Fractions is 1/63240.Finally, GCF of Fractions for 535/408, 449/465 is 1/63240.