GCF of 813/20, 573/1406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/20, 573/1406 i.e 3/14060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/20, 573/1406.
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 813/20,573/1406?
Given fractions are 813/20,573/1406
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 813/20,573/1406, numerators are 813,573
Denominators are 20,1406
The GCF of 813,573 is 3 .
LCM of 20,1406 is 14060.
The greatest common factor of 813/20,573/1406 = [GCF of 813,573]/[LCM of 20,1406]= 3/14060
Therefore, the GCF of 813/20,573/1406 is 3/14060.
To find the highest common factor of 813,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 813 are 1, 3, 271, 813
The factors of 573 are 1, 3, 191, 573
The HCF of 813,573 is 3.
Lets's calculate GCF of 813,573
| 3 | 813, 573 |
| 271, 191 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 813,573 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 813,573 . The biggest common factor number is the GCF number.
So the greatest common factor 813,573 is 3.
Lets's calculate LCM of 20,1406
| 2 | 20, 1406 |
| 10, 703 |
∴ So the LCM of the given numbers is 2 x 10 x 703 = 14060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14060
Therefore, the GCF of Fractions 813/20,573/1406 is 3/14060
Least Common Multiple of 20,1406 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 20,1406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,1406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,1406) x common factors =2 x 1 = 2
LCM(20,1406) = ( 20 × 1406 ) / 2
LCM(20,1406) = 28120 / 2
LCM(20,1406) = 14060
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FAQs on GCF of Fractions of 813/20, 573/1406
1. What is the HCF of 813,573?
The HCF of 813,573 is 3
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 813/20, 573/1406?
Answer: GCF of Numerators as per given numbers 813/20, 573/1406 is
GCF of Numerators i.e. for 813,573 is 3
LCM of denominators i.e. for 20,1406 is 14060.
Thus, GCF of Fractions is 3/14060.Finally, GCF of Fractions for 813/20, 573/1406 is 3/14060.