GCF of 20/179, 40/425, 820/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/179, 40/425, 820/176 i.e 20/13389200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/179, 40/425, 820/176.
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 20/179,40/425,820/176?
Given fractions are 20/179,40/425,820/176
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 20/179,40/425,820/176, numerators are 20,40,820
Denominators are 179,425,176
The GCF of 20,40,820 is 20 .
LCM of 179,425,176 is 13389200.
The greatest common factor of 20/179,40/425,820/176 = [GCF of 20,40,820]/[LCM of 179,425,176]= 20/13389200
Therefore, the GCF of 20/179,40/425,820/176 is 20/13389200.
To find the highest common factor of 20,40,820, 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 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 820 are 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
The HCF of 20,40,820 is 20.
Lets's calculate GCF of 20,40,820
| 2 | 20, 40, 820 |
| 2 | 10, 20, 410 |
| 5 | 5, 10, 205 |
| 1, 2, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 20,40,820 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 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 820
:1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 20,40,820 . The biggest common factor number is the GCF number.
So the greatest common factor 20,40,820 is 20.
Lets's calculate LCM of 179,425,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 13389200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/13389200
Therefore, the GCF of Fractions 20/179,40/425,820/176 is 20/13389200
Least Common Multiple of 179,425,176 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 179,425,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,425,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,425,176) x common factors =1 x 1 = 1
LCM(179,425,176) = ( 179 × 425 × 176 ) / 1
LCM(179,425,176) = 13389200 / 1
LCM(179,425,176) = 13389200
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 20/179, 40/425, 820/176
1. What is the HCF of 20,40,820?
The HCF of 20,40,820 is 20
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 20/179, 40/425, 820/176?
Answer: GCF of Numerators as per given numbers 20/179, 40/425, 820/176 is
GCF of Numerators i.e. for 20,40,820 is 20
LCM of denominators i.e. for 179,425,176 is 13389200.
Thus, GCF of Fractions is 20/13389200.Finally, GCF of Fractions for 20/179, 40/425, 820/176 is 20/13389200.