GCF of 437/99, 941/449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 437/99, 941/449 i.e 1/44451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/99, 941/449.
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 437/99,941/449?
Given fractions are 437/99,941/449
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 437/99,941/449, numerators are 437,941
Denominators are 99,449
The GCF of 437,941 is 1 .
LCM of 99,449 is 44451.
The greatest common factor of 437/99,941/449 = [GCF of 437,941]/[LCM of 99,449]= 1/44451
Therefore, the GCF of 437/99,941/449 is 1/44451.
To find the highest common factor of 437,941, we have to find the factors of both numbers and list the highest common factor.
The factors of 437 are 1, 19, 23, 437
The factors of 941 are 1, 941
The HCF of 437,941 is 1.
Lets's calculate GCF of 437,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 437,941 By Matching Biggest Common Factor Method
Now, list down the factors of 437
:1,19,23,437
Now, list down the factors of 941
:1,941
Greatest Common Factor
We found the factors 437,941 . The biggest common factor number is the GCF number.
So the greatest common factor 437,941 is 1.
Lets's calculate LCM of 99,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 44451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44451
Therefore, the GCF of Fractions 437/99,941/449 is 1/44451
Least Common Multiple of 99,449 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 99,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,449) x common factors =1 x 1 = 1
LCM(99,449) = ( 99 × 449 ) / 1
LCM(99,449) = 44451 / 1
LCM(99,449) = 44451
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FAQs on GCF of Fractions of 437/99, 941/449
1. What is the HCF of 437,941?
The HCF of 437,941 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 437/99, 941/449?
Answer: GCF of Numerators as per given numbers 437/99, 941/449 is
GCF of Numerators i.e. for 437,941 is 1
LCM of denominators i.e. for 99,449 is 44451.
Thus, GCF of Fractions is 1/44451.Finally, GCF of Fractions for 437/99, 941/449 is 1/44451.