GCF of 447/704, 403/828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 447/704, 403/828 i.e 1/145728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/704, 403/828.
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 447/704,403/828?
Given fractions are 447/704,403/828
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 447/704,403/828, numerators are 447,403
Denominators are 704,828
The GCF of 447,403 is 1 .
LCM of 704,828 is 145728.
The greatest common factor of 447/704,403/828 = [GCF of 447,403]/[LCM of 704,828]= 1/145728
Therefore, the GCF of 447/704,403/828 is 1/145728.
To find the highest common factor of 447,403, we have to find the factors of both numbers and list the highest common factor.
The factors of 447 are 1, 3, 149, 447
The factors of 403 are 1, 13, 31, 403
The HCF of 447,403 is 1.
Lets's calculate GCF of 447,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 447,403 By Matching Biggest Common Factor Method
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 403
:1,13,31,403
Greatest Common Factor
We found the factors 447,403 . The biggest common factor number is the GCF number.
So the greatest common factor 447,403 is 1.
Lets's calculate LCM of 704,828
| 2 | 704, 828 |
| 2 | 352, 414 |
| 176, 207 |
∴ So the LCM of the given numbers is 2 x 2 x 176 x 207 = 145728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145728
Therefore, the GCF of Fractions 447/704,403/828 is 1/145728
Least Common Multiple of 704,828 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 704,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,828) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(704,828) x common factors =4 x 1 = 4
LCM(704,828) = ( 704 × 828 ) / 4
LCM(704,828) = 582912 / 4
LCM(704,828) = 145728
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 447/704, 403/828
1. What is the HCF of 447,403?
The HCF of 447,403 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 447/704, 403/828?
Answer: GCF of Numerators as per given numbers 447/704, 403/828 is
GCF of Numerators i.e. for 447,403 is 1
LCM of denominators i.e. for 704,828 is 145728.
Thus, GCF of Fractions is 1/145728.Finally, GCF of Fractions for 447/704, 403/828 is 1/145728.