Use our free GCF of Fractions Calculator tool to compute the GCF of 200/830, 721/810 i.e 1/67230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 200/830, 721/810.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 200/830,721/810
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 200/830,721/810, numerators are 200,721
Denominators are 830,810
The GCF of 200,721 is 1 .
LCM of 830,810 is 67230.
The greatest common factor of 200/830,721/810 = [GCF of 200,721]/[LCM of 830,810]= 1/67230
Therefore, the GCF of 200/830,721/810 is 1/67230.
To find the highest common factor of 200,721, we have to find the factors of both numbers and list the highest common factor.
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The factors of 721 are 1, 7, 103, 721
The HCF of 200,721 is 1.
Lets's calculate GCF of 200,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Now, list down the factors of 721
:1,7,103,721
Greatest Common Factor
We found the factors 200,721 . The biggest common factor number is the GCF number.
So the greatest common factor 200,721 is 1.
Lets's calculate LCM of 830,810
2 | 830, 810 |
5 | 415, 405 |
83, 81 |
∴ So the LCM of the given numbers is 2 x 5 x 83 x 81 = 67230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67230
Therefore, the GCF of Fractions 200/830,721/810 is 1/67230
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 830,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,810) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(830,810) x common factors =10 x 1 = 10
LCM(830,810) = ( 830 × 810 ) / 10
LCM(830,810) = 672300 / 10
LCM(830,810) = 67230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 200,721?
The HCF of 200,721 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 200/830, 721/810?
Answer: GCF of Numerators as per given numbers 200/830, 721/810 is
GCF of Numerators i.e. for 200,721 is 1
LCM of denominators i.e. for 830,810 is 67230.
Thus, GCF of Fractions is 1/67230.Finally, GCF of Fractions for 200/830, 721/810 is 1/67230.