Use our free GCF of Fractions Calculator tool to compute the GCF of 21/27, 559/62, 153/396 i.e 1/36828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/27, 559/62, 153/396.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/27,559/62,153/396
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 21/27,559/62,153/396, numerators are 21,559,153
Denominators are 27,62,396
The GCF of 21,559,153 is 1 .
LCM of 27,62,396 is 36828.
The greatest common factor of 21/27,559/62,153/396 = [GCF of 21,559,153]/[LCM of 27,62,396]= 1/36828
Therefore, the GCF of 21/27,559/62,153/396 is 1/36828.
To find the highest common factor of 21,559,153, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 559 are 1, 13, 43, 559
The factors of 153 are 1, 3, 9, 17, 51, 153
The HCF of 21,559,153 is 1.
Lets's calculate GCF of 21,559,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 559
:1,13,43,559
Now, list down the factors of 153
:1,3,9,17,51,153
Greatest Common Factor
We found the factors 21,559,153 . The biggest common factor number is the GCF number.
So the greatest common factor 21,559,153 is 1.
Lets's calculate LCM of 27,62,396
2 | 27, 62, 396 |
3 | 27, 31, 198 |
3 | 9, 31, 66 |
3, 31, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 31 x 22 = 36828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36828
Therefore, the GCF of Fractions 21/27,559/62,153/396 is 1/36828
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 27,62,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,62,396) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(27,62,396) x common factors =1 x 18 = 18
LCM(27,62,396) = ( 27 × 62 × 396 ) / 18
LCM(27,62,396) = 662904 / 18
LCM(27,62,396) = 36828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,559,153?
The HCF of 21,559,153 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 21/27, 559/62, 153/396?
Answer: GCF of Numerators as per given numbers 21/27, 559/62, 153/396 is
GCF of Numerators i.e. for 21,559,153 is 1
LCM of denominators i.e. for 27,62,396 is 36828.
Thus, GCF of Fractions is 1/36828.Finally, GCF of Fractions for 21/27, 559/62, 153/396 is 1/36828.