GCF of 445/89, 393/8299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 445/89, 393/8299 i.e 1/738611 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/89, 393/8299.
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 445/89,393/8299?
Given fractions are 445/89,393/8299
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 445/89,393/8299, numerators are 445,393
Denominators are 89,8299
The GCF of 445,393 is 1 .
LCM of 89,8299 is 738611.
The greatest common factor of 445/89,393/8299 = [GCF of 445,393]/[LCM of 89,8299]= 1/738611
Therefore, the GCF of 445/89,393/8299 is 1/738611.
To find the highest common factor of 445,393, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 393 are 1, 3, 131, 393
The HCF of 445,393 is 1.
Lets's calculate GCF of 445,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 445,393 By Matching Biggest Common Factor Method
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 393
:1,3,131,393
Greatest Common Factor
We found the factors 445,393 . The biggest common factor number is the GCF number.
So the greatest common factor 445,393 is 1.
Lets's calculate LCM of 89,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 738611
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738611
Therefore, the GCF of Fractions 445/89,393/8299 is 1/738611
Least Common Multiple of 89,8299 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 89,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,8299) x common factors =1 x 1 = 1
LCM(89,8299) = ( 89 × 8299 ) / 1
LCM(89,8299) = 738611 / 1
LCM(89,8299) = 738611
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FAQs on GCF of Fractions of 445/89, 393/8299
1. What is the HCF of 445,393?
The HCF of 445,393 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 445/89, 393/8299?
Answer: GCF of Numerators as per given numbers 445/89, 393/8299 is
GCF of Numerators i.e. for 445,393 is 1
LCM of denominators i.e. for 89,8299 is 738611.
Thus, GCF of Fractions is 1/738611.Finally, GCF of Fractions for 445/89, 393/8299 is 1/738611.