GCF of 800/30, 687/993
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 800/30, 687/993 i.e 1/9930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 800/30, 687/993.
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 800/30,687/993?
Given fractions are 800/30,687/993
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 800/30,687/993, numerators are 800,687
Denominators are 30,993
The GCF of 800,687 is 1 .
LCM of 30,993 is 9930.
The greatest common factor of 800/30,687/993 = [GCF of 800,687]/[LCM of 30,993]= 1/9930
Therefore, the GCF of 800/30,687/993 is 1/9930.
To find the highest common factor of 800,687, 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 687 are 1, 3, 229, 687
The HCF of 800,687 is 1.
Lets's calculate GCF of 800,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 800,687 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 687
:1,3,229,687
Greatest Common Factor
We found the factors 800,687 . The biggest common factor number is the GCF number.
So the greatest common factor 800,687 is 1.
Lets's calculate LCM of 30,993
| 3 | 30, 993 |
| 10, 331 |
∴ So the LCM of the given numbers is 3 x 10 x 331 = 9930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9930
Therefore, the GCF of Fractions 800/30,687/993 is 1/9930
Least Common Multiple of 30,993 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 30,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(30,993) x common factors =3 x 1 = 3
LCM(30,993) = ( 30 × 993 ) / 3
LCM(30,993) = 29790 / 3
LCM(30,993) = 9930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 800/30, 687/993
1. What is the HCF of 800,687?
The HCF of 800,687 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 800/30, 687/993?
Answer: GCF of Numerators as per given numbers 800/30, 687/993 is
GCF of Numerators i.e. for 800,687 is 1
LCM of denominators i.e. for 30,993 is 9930.
Thus, GCF of Fractions is 1/9930.Finally, GCF of Fractions for 800/30, 687/993 is 1/9930.