Use our free GCF of Fractions Calculator tool to compute the GCF of 211/810, 149/426 i.e 1/57510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/810, 149/426.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/810,149/426
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 211/810,149/426, numerators are 211,149
Denominators are 810,426
The GCF of 211,149 is 1 .
LCM of 810,426 is 57510.
The greatest common factor of 211/810,149/426 = [GCF of 211,149]/[LCM of 810,426]= 1/57510
Therefore, the GCF of 211/810,149/426 is 1/57510.
To find the highest common factor of 211,149, we have to find the factors of both numbers and list the highest common factor.
The factors of 211 are 1, 211
The factors of 149 are 1, 149
The HCF of 211,149 is 1.
Lets's calculate GCF of 211,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 211
:1,211
Now, list down the factors of 149
:1,149
Greatest Common Factor
We found the factors 211,149 . The biggest common factor number is the GCF number.
So the greatest common factor 211,149 is 1.
Lets's calculate LCM of 810,426
2 | 810, 426 |
3 | 405, 213 |
135, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 135 x 71 = 57510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57510
Therefore, the GCF of Fractions 211/810,149/426 is 1/57510
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 810,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(810,426) x common factors =6 x 1 = 6
LCM(810,426) = ( 810 × 426 ) / 6
LCM(810,426) = 345060 / 6
LCM(810,426) = 57510
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 211,149?
The HCF of 211,149 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 211/810, 149/426?
Answer: GCF of Numerators as per given numbers 211/810, 149/426 is
GCF of Numerators i.e. for 211,149 is 1
LCM of denominators i.e. for 810,426 is 57510.
Thus, GCF of Fractions is 1/57510.Finally, GCF of Fractions for 211/810, 149/426 is 1/57510.