GCF of 441/449, 988/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 441/449, 988/575 i.e 1/258175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 441/449, 988/575.
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 441/449,988/575?
Given fractions are 441/449,988/575
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 441/449,988/575, numerators are 441,988
Denominators are 449,575
The GCF of 441,988 is 1 .
LCM of 449,575 is 258175.
The greatest common factor of 441/449,988/575 = [GCF of 441,988]/[LCM of 449,575]= 1/258175
Therefore, the GCF of 441/449,988/575 is 1/258175.
To find the highest common factor of 441,988, we have to find the factors of both numbers and list the highest common factor.
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
The HCF of 441,988 is 1.
Lets's calculate GCF of 441,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 441,988 By Matching Biggest Common Factor Method
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Now, list down the factors of 988
:1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 441,988 . The biggest common factor number is the GCF number.
So the greatest common factor 441,988 is 1.
Lets's calculate LCM of 449,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 258175
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258175
Therefore, the GCF of Fractions 441/449,988/575 is 1/258175
Least Common Multiple of 449,575 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 449,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,575) x common factors =1 x 1 = 1
LCM(449,575) = ( 449 × 575 ) / 1
LCM(449,575) = 258175 / 1
LCM(449,575) = 258175
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FAQs on GCF of Fractions of 441/449, 988/575
1. What is the HCF of 441,988?
The HCF of 441,988 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 441/449, 988/575?
Answer: GCF of Numerators as per given numbers 441/449, 988/575 is
GCF of Numerators i.e. for 441,988 is 1
LCM of denominators i.e. for 449,575 is 258175.
Thus, GCF of Fractions is 1/258175.Finally, GCF of Fractions for 441/449, 988/575 is 1/258175.