GCF of 446/19, 521/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 446/19, 521/863 i.e 1/16397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/19, 521/863.
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 446/19,521/863?
Given fractions are 446/19,521/863
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 446/19,521/863, numerators are 446,521
Denominators are 19,863
The GCF of 446,521 is 1 .
LCM of 19,863 is 16397.
The greatest common factor of 446/19,521/863 = [GCF of 446,521]/[LCM of 19,863]= 1/16397
Therefore, the GCF of 446/19,521/863 is 1/16397.
To find the highest common factor of 446,521, we have to find the factors of both numbers and list the highest common factor.
The factors of 446 are 1, 2, 223, 446
The factors of 521 are 1, 521
The HCF of 446,521 is 1.
Lets's calculate GCF of 446,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 446,521 By Matching Biggest Common Factor Method
Now, list down the factors of 446
:1,2,223,446
Now, list down the factors of 521
:1,521
Greatest Common Factor
We found the factors 446,521 . The biggest common factor number is the GCF number.
So the greatest common factor 446,521 is 1.
Lets's calculate LCM of 19,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 16397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16397
Therefore, the GCF of Fractions 446/19,521/863 is 1/16397
Least Common Multiple of 19,863 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 19,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,863) x common factors =1 x 1 = 1
LCM(19,863) = ( 19 × 863 ) / 1
LCM(19,863) = 16397 / 1
LCM(19,863) = 16397
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 446/19, 521/863
1. What is the HCF of 446,521?
The HCF of 446,521 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 446/19, 521/863?
Answer: GCF of Numerators as per given numbers 446/19, 521/863 is
GCF of Numerators i.e. for 446,521 is 1
LCM of denominators i.e. for 19,863 is 16397.
Thus, GCF of Fractions is 1/16397.Finally, GCF of Fractions for 446/19, 521/863 is 1/16397.