GCF of 5944/449, 8539/1020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5944/449, 8539/1020 i.e 1/457980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5944/449, 8539/1020.
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 5944/449,8539/1020?
Given fractions are 5944/449,8539/1020
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 5944/449,8539/1020, numerators are 5944,8539
Denominators are 449,1020
The GCF of 5944,8539 is 1 .
LCM of 449,1020 is 457980.
The greatest common factor of 5944/449,8539/1020 = [GCF of 5944,8539]/[LCM of 449,1020]= 1/457980
Therefore, the GCF of 5944/449,8539/1020 is 1/457980.
To find the highest common factor of 5944,8539, we have to find the factors of both numbers and list the highest common factor.
The factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944
The factors of 8539 are 1, 8539
The HCF of 5944,8539 is 1.
Lets's calculate GCF of 5944,8539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5944,8539 By Matching Biggest Common Factor Method
Now, list down the factors of 5944
:1,2,4,8,743,1486,2972,5944
Now, list down the factors of 8539
:1,8539
Greatest Common Factor
We found the factors 5944,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 5944,8539 is 1.
Lets's calculate LCM of 449,1020
Given numbers has no common factors except 1. So, there LCM is their product i.e 457980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457980
Therefore, the GCF of Fractions 5944/449,8539/1020 is 1/457980
Least Common Multiple of 449,1020 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 449,1020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,1020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,1020) x common factors =1 x 1 = 1
LCM(449,1020) = ( 449 × 1020 ) / 1
LCM(449,1020) = 457980 / 1
LCM(449,1020) = 457980
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FAQs on GCF of Fractions of 5944/449, 8539/1020
1. What is the HCF of 5944,8539?
The HCF of 5944,8539 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 5944/449, 8539/1020?
Answer: GCF of Numerators as per given numbers 5944/449, 8539/1020 is
GCF of Numerators i.e. for 5944,8539 is 1
LCM of denominators i.e. for 449,1020 is 457980.
Thus, GCF of Fractions is 1/457980.Finally, GCF of Fractions for 5944/449, 8539/1020 is 1/457980.