GCF of 30/733, 45/373, 455/945
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/733, 45/373, 455/945 i.e 5/258371505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/733, 45/373, 455/945.
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 30/733,45/373,455/945?
Given fractions are 30/733,45/373,455/945
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 30/733,45/373,455/945, numerators are 30,45,455
Denominators are 733,373,945
The GCF of 30,45,455 is 5 .
LCM of 733,373,945 is 258371505.
The greatest common factor of 30/733,45/373,455/945 = [GCF of 30,45,455]/[LCM of 733,373,945]= 5/258371505
Therefore, the GCF of 30/733,45/373,455/945 is 5/258371505.
To find the highest common factor of 30,45,455, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The HCF of 30,45,455 is 5.
Lets's calculate GCF of 30,45,455
| 5 | 30, 45, 455 |
| 6, 9, 91 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 30,45,455 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 30,45,455 . The biggest common factor number is the GCF number.
So the greatest common factor 30,45,455 is 5.
Lets's calculate LCM of 733,373,945
Given numbers has no common factors except 1. So, there LCM is their product i.e 258371505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/258371505
Therefore, the GCF of Fractions 30/733,45/373,455/945 is 5/258371505
Least Common Multiple of 733,373,945 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 733,373,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,373,945) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,373,945) x common factors =1 x 1 = 1
LCM(733,373,945) = ( 733 × 373 × 945 ) / 1
LCM(733,373,945) = 258371505 / 1
LCM(733,373,945) = 258371505
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 30/733, 45/373, 455/945
1. What is the HCF of 30,45,455?
The HCF of 30,45,455 is 5
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 30/733, 45/373, 455/945?
Answer: GCF of Numerators as per given numbers 30/733, 45/373, 455/945 is
GCF of Numerators i.e. for 30,45,455 is 5
LCM of denominators i.e. for 733,373,945 is 258371505.
Thus, GCF of Fractions is 5/258371505.Finally, GCF of Fractions for 30/733, 45/373, 455/945 is 5/258371505.