GCF of 80/51, 900/23, 449/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 80/51, 900/23, 449/985 i.e 1/1155405 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/51, 900/23, 449/985.
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 80/51,900/23,449/985?
Given fractions are 80/51,900/23,449/985
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 80/51,900/23,449/985, numerators are 80,900,449
Denominators are 51,23,985
The GCF of 80,900,449 is 1 .
LCM of 51,23,985 is 1155405.
The greatest common factor of 80/51,900/23,449/985 = [GCF of 80,900,449]/[LCM of 51,23,985]= 1/1155405
Therefore, the GCF of 80/51,900/23,449/985 is 1/1155405.
To find the highest common factor of 80,900,449, we have to find the factors of both numbers and list the highest common factor.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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 449 are 1, 449
The HCF of 80,900,449 is 1.
Lets's calculate GCF of 80,900,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 80,900,449 By Matching Biggest Common Factor Method
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
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 449
:1,449
Greatest Common Factor
We found the factors 80,900,449 . The biggest common factor number is the GCF number.
So the greatest common factor 80,900,449 is 1.
Lets's calculate LCM of 51,23,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 1155405
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155405
Therefore, the GCF of Fractions 80/51,900/23,449/985 is 1/1155405
Least Common Multiple of 51,23,985 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 51,23,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,23,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,23,985) x common factors =1 x 1 = 1
LCM(51,23,985) = ( 51 × 23 × 985 ) / 1
LCM(51,23,985) = 1155405 / 1
LCM(51,23,985) = 1155405
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FAQs on GCF of Fractions of 80/51, 900/23, 449/985
1. What is the HCF of 80,900,449?
The HCF of 80,900,449 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 80/51, 900/23, 449/985?
Answer: GCF of Numerators as per given numbers 80/51, 900/23, 449/985 is
GCF of Numerators i.e. for 80,900,449 is 1
LCM of denominators i.e. for 51,23,985 is 1155405.
Thus, GCF of Fractions is 1/1155405.Finally, GCF of Fractions for 80/51, 900/23, 449/985 is 1/1155405.