GCF of 5887/205, 5223/5151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5887/205, 5223/5151 i.e 1/1055955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5887/205, 5223/5151.
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 5887/205,5223/5151?
Given fractions are 5887/205,5223/5151
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 5887/205,5223/5151, numerators are 5887,5223
Denominators are 205,5151
The GCF of 5887,5223 is 1 .
LCM of 205,5151 is 1055955.
The greatest common factor of 5887/205,5223/5151 = [GCF of 5887,5223]/[LCM of 205,5151]= 1/1055955
Therefore, the GCF of 5887/205,5223/5151 is 1/1055955.
To find the highest common factor of 5887,5223, we have to find the factors of both numbers and list the highest common factor.
The factors of 5887 are 1, 7, 29, 203, 841, 5887
The factors of 5223 are 1, 3, 1741, 5223
The HCF of 5887,5223 is 1.
Lets's calculate GCF of 5887,5223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5887,5223 By Matching Biggest Common Factor Method
Now, list down the factors of 5887
:1,7,29,203,841,5887
Now, list down the factors of 5223
:1,3,1741,5223
Greatest Common Factor
We found the factors 5887,5223 . The biggest common factor number is the GCF number.
So the greatest common factor 5887,5223 is 1.
Lets's calculate LCM of 205,5151
Given numbers has no common factors except 1. So, there LCM is their product i.e 1055955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1055955
Therefore, the GCF of Fractions 5887/205,5223/5151 is 1/1055955
Least Common Multiple of 205,5151 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 205,5151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,5151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,5151) x common factors =1 x 1 = 1
LCM(205,5151) = ( 205 × 5151 ) / 1
LCM(205,5151) = 1055955 / 1
LCM(205,5151) = 1055955
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FAQs on GCF of Fractions of 5887/205, 5223/5151
1. What is the HCF of 5887,5223?
The HCF of 5887,5223 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 5887/205, 5223/5151?
Answer: GCF of Numerators as per given numbers 5887/205, 5223/5151 is
GCF of Numerators i.e. for 5887,5223 is 1
LCM of denominators i.e. for 205,5151 is 1055955.
Thus, GCF of Fractions is 1/1055955.Finally, GCF of Fractions for 5887/205, 5223/5151 is 1/1055955.