GCF of 20/616, 18/184, 982/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/616, 18/184, 982/667 i.e 2/410872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/616, 18/184, 982/667.
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 20/616,18/184,982/667?
Given fractions are 20/616,18/184,982/667
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 20/616,18/184,982/667, numerators are 20,18,982
Denominators are 616,184,667
The GCF of 20,18,982 is 2 .
LCM of 616,184,667 is 410872.
The greatest common factor of 20/616,18/184,982/667 = [GCF of 20,18,982]/[LCM of 616,184,667]= 2/410872
Therefore, the GCF of 20/616,18/184,982/667 is 2/410872.
To find the highest common factor of 20,18,982, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 982 are 1, 2, 491, 982
The HCF of 20,18,982 is 2.
Lets's calculate GCF of 20,18,982
| 2 | 20, 18, 982 |
| 10, 9, 491 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 20,18,982 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 982
:1,2,491,982
Greatest Common Factor
We found the factors 20,18,982 . The biggest common factor number is the GCF number.
So the greatest common factor 20,18,982 is 2.
Lets's calculate LCM of 616,184,667
| 2 | 616, 184, 667 |
| 2 | 308, 92, 667 |
| 2 | 154, 46, 667 |
| 23 | 77, 23, 667 |
| 77, 1, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 77 x 1 x 29 = 410872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/410872
Therefore, the GCF of Fractions 20/616,18/184,982/667 is 2/410872
Least Common Multiple of 616,184,667 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 616,184,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,184,667) = 1
common factors(in case of two or more numbers have common factors) = 184
GCF(616,184,667) x common factors =1 x 184 = 184
LCM(616,184,667) = ( 616 × 184 × 667 ) / 184
LCM(616,184,667) = 75600448 / 184
LCM(616,184,667) = 410872
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 20/616, 18/184, 982/667
1. What is the HCF of 20,18,982?
The HCF of 20,18,982 is 2
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 20/616, 18/184, 982/667?
Answer: GCF of Numerators as per given numbers 20/616, 18/184, 982/667 is
GCF of Numerators i.e. for 20,18,982 is 2
LCM of denominators i.e. for 616,184,667 is 410872.
Thus, GCF of Fractions is 2/410872.Finally, GCF of Fractions for 20/616, 18/184, 982/667 is 2/410872.