GCF of 80/517, 410/215, 219/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 80/517, 410/215, 219/820 i.e 1/18229420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/517, 410/215, 219/820.
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 80/517,410/215,219/820?
Given fractions are 80/517,410/215,219/820
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 80/517,410/215,219/820, numerators are 80,410,219
Denominators are 517,215,820
The GCF of 80,410,219 is 1 .
LCM of 517,215,820 is 18229420.
The greatest common factor of 80/517,410/215,219/820 = [GCF of 80,410,219]/[LCM of 517,215,820]= 1/18229420
Therefore, the GCF of 80/517,410/215,219/820 is 1/18229420.
To find the highest common factor of 80,410,219, 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 410 are 1, 2, 5, 10, 41, 82, 205, 410
The factors of 219 are 1, 3, 73, 219
The HCF of 80,410,219 is 1.
Lets's calculate GCF of 80,410,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 80,410,219 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 410
:1,2,5,10,41,82,205,410
Now, list down the factors of 219
:1,3,73,219
Greatest Common Factor
We found the factors 80,410,219 . The biggest common factor number is the GCF number.
So the greatest common factor 80,410,219 is 1.
Lets's calculate LCM of 517,215,820
| 5 | 517, 215, 820 |
| 517, 43, 164 |
∴ So the LCM of the given numbers is 5 x 517 x 43 x 164 = 18229420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18229420
Therefore, the GCF of Fractions 80/517,410/215,219/820 is 1/18229420
Least Common Multiple of 517,215,820 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 517,215,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,215,820) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(517,215,820) x common factors =1 x 5 = 5
LCM(517,215,820) = ( 517 × 215 × 820 ) / 5
LCM(517,215,820) = 91147100 / 5
LCM(517,215,820) = 18229420
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FAQs on GCF of Fractions of 80/517, 410/215, 219/820
1. What is the HCF of 80,410,219?
The HCF of 80,410,219 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 80/517, 410/215, 219/820?
Answer: GCF of Numerators as per given numbers 80/517, 410/215, 219/820 is
GCF of Numerators i.e. for 80,410,219 is 1
LCM of denominators i.e. for 517,215,820 is 18229420.
Thus, GCF of Fractions is 1/18229420.Finally, GCF of Fractions for 80/517, 410/215, 219/820 is 1/18229420.