Use our free GCF of Fractions Calculator tool to compute the GCF of 821/618, 611/412 i.e 1/1236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 821/618, 611/412.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/618,611/412
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 821/618,611/412, numerators are 821,611
Denominators are 618,412
The GCF of 821,611 is 1 .
LCM of 618,412 is 1236.
The greatest common factor of 821/618,611/412 = [GCF of 821,611]/[LCM of 618,412]= 1/1236
Therefore, the GCF of 821/618,611/412 is 1/1236.
To find the highest common factor of 821,611, we have to find the factors of both numbers and list the highest common factor.
The factors of 821 are 1, 821
The factors of 611 are 1, 13, 47, 611
The HCF of 821,611 is 1.
Lets's calculate GCF of 821,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 821
:1,821
Now, list down the factors of 611
:1,13,47,611
Greatest Common Factor
We found the factors 821,611 . The biggest common factor number is the GCF number.
So the greatest common factor 821,611 is 1.
Lets's calculate LCM of 618,412
2 | 618, 412 |
103 | 309, 206 |
3, 2 |
∴ So the LCM of the given numbers is 2 x 103 x 3 x 2 = 1236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1236
Therefore, the GCF of Fractions 821/618,611/412 is 1/1236
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 618,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,412) = 206
common factors(in case of two or more numbers have common factors) = 1
GCF(618,412) x common factors =206 x 1 = 206
LCM(618,412) = ( 618 × 412 ) / 206
LCM(618,412) = 254616 / 206
LCM(618,412) = 1236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 821,611?
The HCF of 821,611 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 821/618, 611/412?
Answer: GCF of Numerators as per given numbers 821/618, 611/412 is
GCF of Numerators i.e. for 821,611 is 1
LCM of denominators i.e. for 618,412 is 1236.
Thus, GCF of Fractions is 1/1236.Finally, GCF of Fractions for 821/618, 611/412 is 1/1236.