Use our free GCF of Fractions Calculator tool to compute the GCF of 211/655, 661/823 i.e 1/539065 easily. The following is the detailed procedure to determine the greatest common factor of fractions 211/655, 661/823.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 211/655,661/823
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 211/655,661/823, numerators are 211,661
Denominators are 655,823
The GCF of 211,661 is 1 .
LCM of 655,823 is 539065.
The greatest common factor of 211/655,661/823 = [GCF of 211,661]/[LCM of 655,823]= 1/539065
Therefore, the GCF of 211/655,661/823 is 1/539065.
To find the highest common factor of 211,661, 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 661 are 1, 661
The HCF of 211,661 is 1.
Lets's calculate GCF of 211,661
∴ 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 661
:1,661
Greatest Common Factor
We found the factors 211,661 . The biggest common factor number is the GCF number.
So the greatest common factor 211,661 is 1.
Lets's calculate LCM of 655,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 539065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539065
Therefore, the GCF of Fractions 211/655,661/823 is 1/539065
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 655,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,823) x common factors =1 x 1 = 1
LCM(655,823) = ( 655 × 823 ) / 1
LCM(655,823) = 539065 / 1
LCM(655,823) = 539065
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 211,661?
The HCF of 211,661 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 211/655, 661/823?
Answer: GCF of Numerators as per given numbers 211/655, 661/823 is
GCF of Numerators i.e. for 211,661 is 1
LCM of denominators i.e. for 655,823 is 539065.
Thus, GCF of Fractions is 1/539065.Finally, GCF of Fractions for 211/655, 661/823 is 1/539065.