Use our free GCF of Fractions Calculator tool to compute the GCF of 844/812, 206/419 i.e 2/340228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/812, 206/419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 844/812,206/419
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 844/812,206/419, numerators are 844,206
Denominators are 812,419
The GCF of 844,206 is 2 .
LCM of 812,419 is 340228.
The greatest common factor of 844/812,206/419 = [GCF of 844,206]/[LCM of 812,419]= 2/340228
Therefore, the GCF of 844/812,206/419 is 2/340228.
To find the highest common factor of 844,206, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 206 are 1, 2, 103, 206
The HCF of 844,206 is 2.
Lets's calculate GCF of 844,206
2 | 844, 206 |
422, 103 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 206
:1,2,103,206
Greatest Common Factor
We found the factors 844,206 . The biggest common factor number is the GCF number.
So the greatest common factor 844,206 is 2.
Lets's calculate LCM of 812,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 340228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/340228
Therefore, the GCF of Fractions 844/812,206/419 is 2/340228
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 812,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,419) x common factors =1 x 1 = 1
LCM(812,419) = ( 812 × 419 ) / 1
LCM(812,419) = 340228 / 1
LCM(812,419) = 340228
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 844,206?
The HCF of 844,206 is 2
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 844/812, 206/419?
Answer: GCF of Numerators as per given numbers 844/812, 206/419 is
GCF of Numerators i.e. for 844,206 is 2
LCM of denominators i.e. for 812,419 is 340228.
Thus, GCF of Fractions is 2/340228.Finally, GCF of Fractions for 844/812, 206/419 is 2/340228.