GCF of 5859/213, 5897/8411
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5859/213, 5897/8411 i.e 1/1791543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5859/213, 5897/8411.
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 5859/213,5897/8411?
Given fractions are 5859/213,5897/8411
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 5859/213,5897/8411, numerators are 5859,5897
Denominators are 213,8411
The GCF of 5859,5897 is 1 .
LCM of 213,8411 is 1791543.
The greatest common factor of 5859/213,5897/8411 = [GCF of 5859,5897]/[LCM of 213,8411]= 1/1791543
Therefore, the GCF of 5859/213,5897/8411 is 1/1791543.
To find the highest common factor of 5859,5897, we have to find the factors of both numbers and list the highest common factor.
The factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859
The factors of 5897 are 1, 5897
The HCF of 5859,5897 is 1.
Lets's calculate GCF of 5859,5897
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5859,5897 By Matching Biggest Common Factor Method
Now, list down the factors of 5859
:1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Now, list down the factors of 5897
:1,5897
Greatest Common Factor
We found the factors 5859,5897 . The biggest common factor number is the GCF number.
So the greatest common factor 5859,5897 is 1.
Lets's calculate LCM of 213,8411
Given numbers has no common factors except 1. So, there LCM is their product i.e 1791543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1791543
Therefore, the GCF of Fractions 5859/213,5897/8411 is 1/1791543
Least Common Multiple of 213,8411 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 213,8411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,8411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,8411) x common factors =1 x 1 = 1
LCM(213,8411) = ( 213 × 8411 ) / 1
LCM(213,8411) = 1791543 / 1
LCM(213,8411) = 1791543
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FAQs on GCF of Fractions of 5859/213, 5897/8411
1. What is the HCF of 5859,5897?
The HCF of 5859,5897 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 5859/213, 5897/8411?
Answer: GCF of Numerators as per given numbers 5859/213, 5897/8411 is
GCF of Numerators i.e. for 5859,5897 is 1
LCM of denominators i.e. for 213,8411 is 1791543.
Thus, GCF of Fractions is 1/1791543.Finally, GCF of Fractions for 5859/213, 5897/8411 is 1/1791543.