GCF of 900/66, 489/191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 900/66, 489/191 i.e 3/12606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 900/66, 489/191.
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 900/66,489/191?
Given fractions are 900/66,489/191
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 900/66,489/191, numerators are 900,489
Denominators are 66,191
The GCF of 900,489 is 3 .
LCM of 66,191 is 12606.
The greatest common factor of 900/66,489/191 = [GCF of 900,489]/[LCM of 66,191]= 3/12606
Therefore, the GCF of 900/66,489/191 is 3/12606.
To find the highest common factor of 900,489, we have to find the factors of both numbers and list the highest common factor.
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 factors of 489 are 1, 3, 163, 489
The HCF of 900,489 is 3.
Lets's calculate GCF of 900,489
| 3 | 900, 489 |
| 300, 163 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 900,489 By Matching Biggest Common Factor Method
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
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 900,489 . The biggest common factor number is the GCF number.
So the greatest common factor 900,489 is 3.
Lets's calculate LCM of 66,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 12606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12606
Therefore, the GCF of Fractions 900/66,489/191 is 3/12606
Least Common Multiple of 66,191 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 66,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,191) x common factors =1 x 1 = 1
LCM(66,191) = ( 66 × 191 ) / 1
LCM(66,191) = 12606 / 1
LCM(66,191) = 12606
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FAQs on GCF of Fractions of 900/66, 489/191
1. What is the HCF of 900,489?
The HCF of 900,489 is 3
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 900/66, 489/191?
Answer: GCF of Numerators as per given numbers 900/66, 489/191 is
GCF of Numerators i.e. for 900,489 is 3
LCM of denominators i.e. for 66,191 is 12606.
Thus, GCF of Fractions is 3/12606.Finally, GCF of Fractions for 900/66, 489/191 is 3/12606.