GCF of 389/850, 555/482
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 389/850, 555/482 i.e 1/204850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/850, 555/482.
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 389/850,555/482?
Given fractions are 389/850,555/482
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 389/850,555/482, numerators are 389,555
Denominators are 850,482
The GCF of 389,555 is 1 .
LCM of 850,482 is 204850.
The greatest common factor of 389/850,555/482 = [GCF of 389,555]/[LCM of 850,482]= 1/204850
Therefore, the GCF of 389/850,555/482 is 1/204850.
To find the highest common factor of 389,555, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The HCF of 389,555 is 1.
Lets's calculate GCF of 389,555
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 389,555 By Matching Biggest Common Factor Method
Now, list down the factors of 389
:1,389
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Greatest Common Factor
We found the factors 389,555 . The biggest common factor number is the GCF number.
So the greatest common factor 389,555 is 1.
Lets's calculate LCM of 850,482
| 2 | 850, 482 |
| 425, 241 |
∴ So the LCM of the given numbers is 2 x 425 x 241 = 204850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204850
Therefore, the GCF of Fractions 389/850,555/482 is 1/204850
Least Common Multiple of 850,482 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 850,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,482) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,482) x common factors =2 x 1 = 2
LCM(850,482) = ( 850 × 482 ) / 2
LCM(850,482) = 409700 / 2
LCM(850,482) = 204850
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 389/850, 555/482
1. What is the HCF of 389,555?
The HCF of 389,555 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 389/850, 555/482?
Answer: GCF of Numerators as per given numbers 389/850, 555/482 is
GCF of Numerators i.e. for 389,555 is 1
LCM of denominators i.e. for 850,482 is 204850.
Thus, GCF of Fractions is 1/204850.Finally, GCF of Fractions for 389/850, 555/482 is 1/204850.