GCF of 80/15, 286/73, 851/444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 80/15, 286/73, 851/444 i.e 1/162060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/15, 286/73, 851/444.
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 80/15,286/73,851/444?
Given fractions are 80/15,286/73,851/444
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 80/15,286/73,851/444, numerators are 80,286,851
Denominators are 15,73,444
The GCF of 80,286,851 is 1 .
LCM of 15,73,444 is 162060.
The greatest common factor of 80/15,286/73,851/444 = [GCF of 80,286,851]/[LCM of 15,73,444]= 1/162060
Therefore, the GCF of 80/15,286/73,851/444 is 1/162060.
To find the highest common factor of 80,286,851, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286
The factors of 851 are 1, 23, 37, 851
The HCF of 80,286,851 is 1.
Lets's calculate GCF of 80,286,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 80,286,851 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 286
:1,2,11,13,22,26,143,286
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 80,286,851 . The biggest common factor number is the GCF number.
So the greatest common factor 80,286,851 is 1.
Lets's calculate LCM of 15,73,444
| 3 | 15, 73, 444 |
| 5, 73, 148 |
∴ So the LCM of the given numbers is 3 x 5 x 73 x 148 = 162060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162060
Therefore, the GCF of Fractions 80/15,286/73,851/444 is 1/162060
Least Common Multiple of 15,73,444 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 15,73,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,73,444) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(15,73,444) x common factors =1 x 3 = 3
LCM(15,73,444) = ( 15 × 73 × 444 ) / 3
LCM(15,73,444) = 486180 / 3
LCM(15,73,444) = 162060
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FAQs on GCF of Fractions of 80/15, 286/73, 851/444
1. What is the HCF of 80,286,851?
The HCF of 80,286,851 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 80/15, 286/73, 851/444?
Answer: GCF of Numerators as per given numbers 80/15, 286/73, 851/444 is
GCF of Numerators i.e. for 80,286,851 is 1
LCM of denominators i.e. for 15,73,444 is 162060.
Thus, GCF of Fractions is 1/162060.Finally, GCF of Fractions for 80/15, 286/73, 851/444 is 1/162060.