GCF of 36/480, 32/120, 833/625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/480, 32/120, 833/625 i.e 1/60000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/480, 32/120, 833/625.
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 36/480,32/120,833/625?
Given fractions are 36/480,32/120,833/625
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 36/480,32/120,833/625, numerators are 36,32,833
Denominators are 480,120,625
The GCF of 36,32,833 is 1 .
LCM of 480,120,625 is 60000.
The greatest common factor of 36/480,32/120,833/625 = [GCF of 36,32,833]/[LCM of 480,120,625]= 1/60000
Therefore, the GCF of 36/480,32/120,833/625 is 1/60000.
To find the highest common factor of 36,32,833, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 833 are 1, 7, 17, 49, 119, 833
The HCF of 36,32,833 is 1.
Lets's calculate GCF of 36,32,833
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,32,833 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 833
:1,7,17,49,119,833
Greatest Common Factor
We found the factors 36,32,833 . The biggest common factor number is the GCF number.
So the greatest common factor 36,32,833 is 1.
Lets's calculate LCM of 480,120,625
| 2 | 480, 120, 625 |
| 2 | 240, 60, 625 |
| 2 | 120, 30, 625 |
| 3 | 60, 15, 625 |
| 5 | 20, 5, 625 |
| 4, 1, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 4 x 1 x 125 = 60000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60000
Therefore, the GCF of Fractions 36/480,32/120,833/625 is 1/60000
Least Common Multiple of 480,120,625 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 480,120,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,120,625) = 5
common factors(in case of two or more numbers have common factors) = 120
GCF(480,120,625) x common factors =5 x 120 = 600
LCM(480,120,625) = ( 480 × 120 × 625 ) / 600
LCM(480,120,625) = 36000000 / 600
LCM(480,120,625) = 60000
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 36/480, 32/120, 833/625
1. What is the HCF of 36,32,833?
The HCF of 36,32,833 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 36/480, 32/120, 833/625?
Answer: GCF of Numerators as per given numbers 36/480, 32/120, 833/625 is
GCF of Numerators i.e. for 36,32,833 is 1
LCM of denominators i.e. for 480,120,625 is 60000.
Thus, GCF of Fractions is 1/60000.Finally, GCF of Fractions for 36/480, 32/120, 833/625 is 1/60000.