GCF of 205/39, 941/57, 900/47
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 205/39, 941/57, 900/47 i.e 1/34827 easily. The following is the detailed procedure to determine the greatest common factor of fractions 205/39, 941/57, 900/47.
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 205/39,941/57,900/47?
Given fractions are 205/39,941/57,900/47
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 205/39,941/57,900/47, numerators are 205,941,900
Denominators are 39,57,47
The GCF of 205,941,900 is 1 .
LCM of 39,57,47 is 34827.
The greatest common factor of 205/39,941/57,900/47 = [GCF of 205,941,900]/[LCM of 39,57,47]= 1/34827
Therefore, the GCF of 205/39,941/57,900/47 is 1/34827.
To find the highest common factor of 205,941,900, we have to find the factors of both numbers and list the highest common factor.
The factors of 205 are 1, 5, 41, 205
The factors of 941 are 1, 941
The factors of 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The HCF of 205,941,900 is 1.
Lets's calculate GCF of 205,941,900
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 205,941,900 By Matching Biggest Common Factor Method
Now, list down the factors of 205
:1,5,41,205
Now, list down the factors of 941
:1,941
Now, list down the factors of 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 205,941,900 . The biggest common factor number is the GCF number.
So the greatest common factor 205,941,900 is 1.
Lets's calculate LCM of 39,57,47
| 3 | 39, 57, 47 |
| 13, 19, 47 |
∴ So the LCM of the given numbers is 3 x 13 x 19 x 47 = 34827
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34827
Therefore, the GCF of Fractions 205/39,941/57,900/47 is 1/34827
Least Common Multiple of 39,57,47 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 39,57,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,57,47) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,57,47) x common factors =1 x 3 = 3
LCM(39,57,47) = ( 39 × 57 × 47 ) / 3
LCM(39,57,47) = 104481 / 3
LCM(39,57,47) = 34827
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 205/39, 941/57, 900/47
1. What is the HCF of 205,941,900?
The HCF of 205,941,900 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 205/39, 941/57, 900/47?
Answer: GCF of Numerators as per given numbers 205/39, 941/57, 900/47 is
GCF of Numerators i.e. for 205,941,900 is 1
LCM of denominators i.e. for 39,57,47 is 34827.
Thus, GCF of Fractions is 1/34827.Finally, GCF of Fractions for 205/39, 941/57, 900/47 is 1/34827.