GCF of 614/51, 311/83, 483/18
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 614/51, 311/83, 483/18 i.e 1/25398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/51, 311/83, 483/18.
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 614/51,311/83,483/18?
Given fractions are 614/51,311/83,483/18
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 614/51,311/83,483/18, numerators are 614,311,483
Denominators are 51,83,18
The GCF of 614,311,483 is 1 .
LCM of 51,83,18 is 25398.
The greatest common factor of 614/51,311/83,483/18 = [GCF of 614,311,483]/[LCM of 51,83,18]= 1/25398
Therefore, the GCF of 614/51,311/83,483/18 is 1/25398.
To find the highest common factor of 614,311,483, we have to find the factors of both numbers and list the highest common factor.
The factors of 614 are 1, 2, 307, 614
The factors of 311 are 1, 311
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The HCF of 614,311,483 is 1.
Lets's calculate GCF of 614,311,483
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 614,311,483 By Matching Biggest Common Factor Method
Now, list down the factors of 614
:1,2,307,614
Now, list down the factors of 311
:1,311
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Greatest Common Factor
We found the factors 614,311,483 . The biggest common factor number is the GCF number.
So the greatest common factor 614,311,483 is 1.
Lets's calculate LCM of 51,83,18
| 3 | 51, 83, 18 |
| 17, 83, 6 |
∴ So the LCM of the given numbers is 3 x 17 x 83 x 6 = 25398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25398
Therefore, the GCF of Fractions 614/51,311/83,483/18 is 1/25398
Least Common Multiple of 51,83,18 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 51,83,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,83,18) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,83,18) x common factors =1 x 3 = 3
LCM(51,83,18) = ( 51 × 83 × 18 ) / 3
LCM(51,83,18) = 76194 / 3
LCM(51,83,18) = 25398
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FAQs on GCF of Fractions of 614/51, 311/83, 483/18
1. What is the HCF of 614,311,483?
The HCF of 614,311,483 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 614/51, 311/83, 483/18?
Answer: GCF of Numerators as per given numbers 614/51, 311/83, 483/18 is
GCF of Numerators i.e. for 614,311,483 is 1
LCM of denominators i.e. for 51,83,18 is 25398.
Thus, GCF of Fractions is 1/25398.Finally, GCF of Fractions for 614/51, 311/83, 483/18 is 1/25398.