GCF of 43/20, 160/58, 504/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/20, 160/58, 504/721 i.e 1/418180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/20, 160/58, 504/721.
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 43/20,160/58,504/721?
Given fractions are 43/20,160/58,504/721
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 43/20,160/58,504/721, numerators are 43,160,504
Denominators are 20,58,721
The GCF of 43,160,504 is 1 .
LCM of 20,58,721 is 418180.
The greatest common factor of 43/20,160/58,504/721 = [GCF of 43,160,504]/[LCM of 20,58,721]= 1/418180
Therefore, the GCF of 43/20,160/58,504/721 is 1/418180.
To find the highest common factor of 43,160,504, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The HCF of 43,160,504 is 1.
Lets's calculate GCF of 43,160,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,160,504 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 160
:1,2,4,5,8,10,16,20,32,40,80,160
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 43,160,504 . The biggest common factor number is the GCF number.
So the greatest common factor 43,160,504 is 1.
Lets's calculate LCM of 20,58,721
| 2 | 20, 58, 721 |
| 10, 29, 721 |
∴ So the LCM of the given numbers is 2 x 10 x 29 x 721 = 418180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/418180
Therefore, the GCF of Fractions 43/20,160/58,504/721 is 1/418180
Least Common Multiple of 20,58,721 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 20,58,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,58,721) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(20,58,721) x common factors =1 x 2 = 2
LCM(20,58,721) = ( 20 × 58 × 721 ) / 2
LCM(20,58,721) = 836360 / 2
LCM(20,58,721) = 418180
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FAQs on GCF of Fractions of 43/20, 160/58, 504/721
1. What is the HCF of 43,160,504?
The HCF of 43,160,504 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 43/20, 160/58, 504/721?
Answer: GCF of Numerators as per given numbers 43/20, 160/58, 504/721 is
GCF of Numerators i.e. for 43,160,504 is 1
LCM of denominators i.e. for 20,58,721 is 418180.
Thus, GCF of Fractions is 1/418180.Finally, GCF of Fractions for 43/20, 160/58, 504/721 is 1/418180.