GCF of 18/62, 288/83, 426/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/62, 288/83, 426/162 i.e 6/416826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/62, 288/83, 426/162.
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 18/62,288/83,426/162?
Given fractions are 18/62,288/83,426/162
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 18/62,288/83,426/162, numerators are 18,288,426
Denominators are 62,83,162
The GCF of 18,288,426 is 6 .
LCM of 62,83,162 is 416826.
The greatest common factor of 18/62,288/83,426/162 = [GCF of 18,288,426]/[LCM of 62,83,162]= 6/416826
Therefore, the GCF of 18/62,288/83,426/162 is 6/416826.
To find the highest common factor of 18,288,426, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The HCF of 18,288,426 is 6.
Lets's calculate GCF of 18,288,426
| 2 | 18, 288, 426 |
| 3 | 9, 144, 213 |
| 3, 48, 71 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 18,288,426 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 288
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 18,288,426 . The biggest common factor number is the GCF number.
So the greatest common factor 18,288,426 is 6.
Lets's calculate LCM of 62,83,162
| 2 | 62, 83, 162 |
| 31, 83, 81 |
∴ So the LCM of the given numbers is 2 x 31 x 83 x 81 = 416826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/416826
Therefore, the GCF of Fractions 18/62,288/83,426/162 is 6/416826
Least Common Multiple of 62,83,162 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 62,83,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,83,162) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,83,162) x common factors =1 x 2 = 2
LCM(62,83,162) = ( 62 × 83 × 162 ) / 2
LCM(62,83,162) = 833652 / 2
LCM(62,83,162) = 416826
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 18/62, 288/83, 426/162
1. What is the HCF of 18,288,426?
The HCF of 18,288,426 is 6
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 18/62, 288/83, 426/162?
Answer: GCF of Numerators as per given numbers 18/62, 288/83, 426/162 is
GCF of Numerators i.e. for 18,288,426 is 6
LCM of denominators i.e. for 62,83,162 is 416826.
Thus, GCF of Fractions is 6/416826.Finally, GCF of Fractions for 18/62, 288/83, 426/162 is 6/416826.