GCF of 5887/231, 6800/2102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5887/231, 6800/2102 i.e 1/485562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5887/231, 6800/2102.
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 5887/231,6800/2102?
Given fractions are 5887/231,6800/2102
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 5887/231,6800/2102, numerators are 5887,6800
Denominators are 231,2102
The GCF of 5887,6800 is 1 .
LCM of 231,2102 is 485562.
The greatest common factor of 5887/231,6800/2102 = [GCF of 5887,6800]/[LCM of 231,2102]= 1/485562
Therefore, the GCF of 5887/231,6800/2102 is 1/485562.
To find the highest common factor of 5887,6800, 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 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800
The HCF of 5887,6800 is 1.
Lets's calculate GCF of 5887,6800
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5887,6800 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 6800
:1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800
Greatest Common Factor
We found the factors 5887,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 5887,6800 is 1.
Lets's calculate LCM of 231,2102
Given numbers has no common factors except 1. So, there LCM is their product i.e 485562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/485562
Therefore, the GCF of Fractions 5887/231,6800/2102 is 1/485562
Least Common Multiple of 231,2102 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 231,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,2102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,2102) x common factors =1 x 1 = 1
LCM(231,2102) = ( 231 × 2102 ) / 1
LCM(231,2102) = 485562 / 1
LCM(231,2102) = 485562
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FAQs on GCF of Fractions of 5887/231, 6800/2102
1. What is the HCF of 5887,6800?
The HCF of 5887,6800 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 5887/231, 6800/2102?
Answer: GCF of Numerators as per given numbers 5887/231, 6800/2102 is
GCF of Numerators i.e. for 5887,6800 is 1
LCM of denominators i.e. for 231,2102 is 485562.
Thus, GCF of Fractions is 1/485562.Finally, GCF of Fractions for 5887/231, 6800/2102 is 1/485562.