GCF of 800/511, 1213/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 800/511, 1213/309 i.e 1/157899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 800/511, 1213/309.
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 800/511,1213/309?
Given fractions are 800/511,1213/309
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 800/511,1213/309, numerators are 800,1213
Denominators are 511,309
The GCF of 800,1213 is 1 .
LCM of 511,309 is 157899.
The greatest common factor of 800/511,1213/309 = [GCF of 800,1213]/[LCM of 511,309]= 1/157899
Therefore, the GCF of 800/511,1213/309 is 1/157899.
To find the highest common factor of 800,1213, we have to find the factors of both numbers and list the highest common factor.
The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
The factors of 1213 are 1, 1213
The HCF of 800,1213 is 1.
Lets's calculate GCF of 800,1213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 800,1213 By Matching Biggest Common Factor Method
Now, list down the factors of 800
:1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Now, list down the factors of 1213
:1,1213
Greatest Common Factor
We found the factors 800,1213 . The biggest common factor number is the GCF number.
So the greatest common factor 800,1213 is 1.
Lets's calculate LCM of 511,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 157899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157899
Therefore, the GCF of Fractions 800/511,1213/309 is 1/157899
Least Common Multiple of 511,309 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 511,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,309) x common factors =1 x 1 = 1
LCM(511,309) = ( 511 × 309 ) / 1
LCM(511,309) = 157899 / 1
LCM(511,309) = 157899
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FAQs on GCF of Fractions of 800/511, 1213/309
1. What is the HCF of 800,1213?
The HCF of 800,1213 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 800/511, 1213/309?
Answer: GCF of Numerators as per given numbers 800/511, 1213/309 is
GCF of Numerators i.e. for 800,1213 is 1
LCM of denominators i.e. for 511,309 is 157899.
Thus, GCF of Fractions is 1/157899.Finally, GCF of Fractions for 800/511, 1213/309 is 1/157899.