GCF of 810/688, 8323/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 810/688, 8323/239 i.e 1/164432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 810/688, 8323/239.
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 810/688,8323/239?
Given fractions are 810/688,8323/239
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 810/688,8323/239, numerators are 810,8323
Denominators are 688,239
The GCF of 810,8323 is 1 .
LCM of 688,239 is 164432.
The greatest common factor of 810/688,8323/239 = [GCF of 810,8323]/[LCM of 688,239]= 1/164432
Therefore, the GCF of 810/688,8323/239 is 1/164432.
To find the highest common factor of 810,8323, we have to find the factors of both numbers and list the highest common factor.
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323
The HCF of 810,8323 is 1.
Lets's calculate GCF of 810,8323
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 810,8323 By Matching Biggest Common Factor Method
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Now, list down the factors of 8323
:1,7,29,41,203,287,1189,8323
Greatest Common Factor
We found the factors 810,8323 . The biggest common factor number is the GCF number.
So the greatest common factor 810,8323 is 1.
Lets's calculate LCM of 688,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 164432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164432
Therefore, the GCF of Fractions 810/688,8323/239 is 1/164432
Least Common Multiple of 688,239 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 688,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,239) x common factors =1 x 1 = 1
LCM(688,239) = ( 688 × 239 ) / 1
LCM(688,239) = 164432 / 1
LCM(688,239) = 164432
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FAQs on GCF of Fractions of 810/688, 8323/239
1. What is the HCF of 810,8323?
The HCF of 810,8323 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 810/688, 8323/239?
Answer: GCF of Numerators as per given numbers 810/688, 8323/239 is
GCF of Numerators i.e. for 810,8323 is 1
LCM of denominators i.e. for 688,239 is 164432.
Thus, GCF of Fractions is 1/164432.Finally, GCF of Fractions for 810/688, 8323/239 is 1/164432.