GCF of 905/200, 4163/600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 905/200, 4163/600 i.e 181/600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 905/200, 4163/600.
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 905/200,4163/600?
Given fractions are 905/200,4163/600
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 905/200,4163/600, numerators are 905,4163
Denominators are 200,600
The GCF of 905,4163 is 181 .
LCM of 200,600 is 600.
The greatest common factor of 905/200,4163/600 = [GCF of 905,4163]/[LCM of 200,600]= 181/600
Therefore, the GCF of 905/200,4163/600 is 181/600.
To find the highest common factor of 905,4163, we have to find the factors of both numbers and list the highest common factor.
The factors of 905 are 1, 5, 181, 905
The factors of 4163 are 1, 23, 181, 4163
The HCF of 905,4163 is 181.
Lets's calculate GCF of 905,4163
| 181 | 905, 4163 |
| 5, 23 |
∴ So the GCF of the given numbers is 181 = 181
Greatest Common Factor of 905,4163 By Matching Biggest Common Factor Method
Now, list down the factors of 905
:1,5,181,905
Now, list down the factors of 4163
:1,23,181,4163
Greatest Common Factor
We found the factors 905,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 905,4163 is 181.
Lets's calculate LCM of 200,600
| 2 | 200, 600 |
| 2 | 100, 300 |
| 2 | 50, 150 |
| 5 | 25, 75 |
| 5 | 5, 15 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 1 x 3 = 600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/600
Therefore, the GCF of Fractions 905/200,4163/600 is 181/600
Least Common Multiple of 200,600 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 200,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,600) = 200
common factors(in case of two or more numbers have common factors) = 1
GCF(200,600) x common factors =200 x 1 = 200
LCM(200,600) = ( 200 × 600 ) / 200
LCM(200,600) = 120000 / 200
LCM(200,600) = 600
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 905/200, 4163/600
1. What is the HCF of 905,4163?
The HCF of 905,4163 is 181
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 905/200, 4163/600?
Answer: GCF of Numerators as per given numbers 905/200, 4163/600 is
GCF of Numerators i.e. for 905,4163 is 181
LCM of denominators i.e. for 200,600 is 600.
Thus, GCF of Fractions is 181/600.Finally, GCF of Fractions for 905/200, 4163/600 is 181/600.