GCF of 447/76, 580/8144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 447/76, 580/8144 i.e 1/154736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 447/76, 580/8144.
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 447/76,580/8144?
Given fractions are 447/76,580/8144
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 447/76,580/8144, numerators are 447,580
Denominators are 76,8144
The GCF of 447,580 is 1 .
LCM of 76,8144 is 154736.
The greatest common factor of 447/76,580/8144 = [GCF of 447,580]/[LCM of 76,8144]= 1/154736
Therefore, the GCF of 447/76,580/8144 is 1/154736.
To find the highest common factor of 447,580, 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 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 447,580 is 1.
Lets's calculate GCF of 447,580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 447,580 By Matching Biggest Common Factor Method
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 447,580 . The biggest common factor number is the GCF number.
So the greatest common factor 447,580 is 1.
Lets's calculate LCM of 76,8144
| 2 | 76, 8144 |
| 2 | 38, 4072 |
| 19, 2036 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 2036 = 154736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154736
Therefore, the GCF of Fractions 447/76,580/8144 is 1/154736
Least Common Multiple of 76,8144 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 76,8144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,8144) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,8144) x common factors =4 x 1 = 4
LCM(76,8144) = ( 76 × 8144 ) / 4
LCM(76,8144) = 618944 / 4
LCM(76,8144) = 154736
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FAQs on GCF of Fractions of 447/76, 580/8144
1. What is the HCF of 447,580?
The HCF of 447,580 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 447/76, 580/8144?
Answer: GCF of Numerators as per given numbers 447/76, 580/8144 is
GCF of Numerators i.e. for 447,580 is 1
LCM of denominators i.e. for 76,8144 is 154736.
Thus, GCF of Fractions is 1/154736.Finally, GCF of Fractions for 447/76, 580/8144 is 1/154736.