GCF of 5929/281, 5990/6129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5929/281, 5990/6129 i.e 1/1722249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5929/281, 5990/6129.
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 5929/281,5990/6129?
Given fractions are 5929/281,5990/6129
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 5929/281,5990/6129, numerators are 5929,5990
Denominators are 281,6129
The GCF of 5929,5990 is 1 .
LCM of 281,6129 is 1722249.
The greatest common factor of 5929/281,5990/6129 = [GCF of 5929,5990]/[LCM of 281,6129]= 1/1722249
Therefore, the GCF of 5929/281,5990/6129 is 1/1722249.
To find the highest common factor of 5929,5990, we have to find the factors of both numbers and list the highest common factor.
The factors of 5929 are 1, 7, 11, 49, 77, 121, 539, 847, 5929
The factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990
The HCF of 5929,5990 is 1.
Lets's calculate GCF of 5929,5990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5929,5990 By Matching Biggest Common Factor Method
Now, list down the factors of 5929
:1,7,11,49,77,121,539,847,5929
Now, list down the factors of 5990
:1,2,5,10,599,1198,2995,5990
Greatest Common Factor
We found the factors 5929,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 5929,5990 is 1.
Lets's calculate LCM of 281,6129
Given numbers has no common factors except 1. So, there LCM is their product i.e 1722249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1722249
Therefore, the GCF of Fractions 5929/281,5990/6129 is 1/1722249
Least Common Multiple of 281,6129 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 281,6129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,6129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,6129) x common factors =1 x 1 = 1
LCM(281,6129) = ( 281 × 6129 ) / 1
LCM(281,6129) = 1722249 / 1
LCM(281,6129) = 1722249
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FAQs on GCF of Fractions of 5929/281, 5990/6129
1. What is the HCF of 5929,5990?
The HCF of 5929,5990 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 5929/281, 5990/6129?
Answer: GCF of Numerators as per given numbers 5929/281, 5990/6129 is
GCF of Numerators i.e. for 5929,5990 is 1
LCM of denominators i.e. for 281,6129 is 1722249.
Thus, GCF of Fractions is 1/1722249.Finally, GCF of Fractions for 5929/281, 5990/6129 is 1/1722249.