GCF of 20/126, 743/171, 894/477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/126, 743/171, 894/477 i.e 1/126882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/126, 743/171, 894/477.
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 20/126,743/171,894/477?
Given fractions are 20/126,743/171,894/477
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 20/126,743/171,894/477, numerators are 20,743,894
Denominators are 126,171,477
The GCF of 20,743,894 is 1 .
LCM of 126,171,477 is 126882.
The greatest common factor of 20/126,743/171,894/477 = [GCF of 20,743,894]/[LCM of 126,171,477]= 1/126882
Therefore, the GCF of 20/126,743/171,894/477 is 1/126882.
To find the highest common factor of 20,743,894, 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 743 are 1, 743
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The HCF of 20,743,894 is 1.
Lets's calculate GCF of 20,743,894
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,743,894 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 743
:1,743
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 20,743,894 . The biggest common factor number is the GCF number.
So the greatest common factor 20,743,894 is 1.
Lets's calculate LCM of 126,171,477
| 3 | 126, 171, 477 |
| 3 | 42, 57, 159 |
| 14, 19, 53 |
∴ So the LCM of the given numbers is 3 x 3 x 14 x 19 x 53 = 126882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126882
Therefore, the GCF of Fractions 20/126,743/171,894/477 is 1/126882
Least Common Multiple of 126,171,477 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 126,171,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,171,477) = 9
common factors(in case of two or more numbers have common factors) = 9
GCF(126,171,477) x common factors =9 x 9 = 81
LCM(126,171,477) = ( 126 × 171 × 477 ) / 81
LCM(126,171,477) = 10277442 / 81
LCM(126,171,477) = 126882
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 20/126, 743/171, 894/477
1. What is the HCF of 20,743,894?
The HCF of 20,743,894 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 20/126, 743/171, 894/477?
Answer: GCF of Numerators as per given numbers 20/126, 743/171, 894/477 is
GCF of Numerators i.e. for 20,743,894 is 1
LCM of denominators i.e. for 126,171,477 is 126882.
Thus, GCF of Fractions is 1/126882.Finally, GCF of Fractions for 20/126, 743/171, 894/477 is 1/126882.