Use our free GCF of Fractions Calculator tool to compute the GCF of 21/12, 900/72, 370/159 i.e 1/3816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/12, 900/72, 370/159.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/12,900/72,370/159
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 21/12,900/72,370/159, numerators are 21,900,370
Denominators are 12,72,159
The GCF of 21,900,370 is 1 .
LCM of 12,72,159 is 3816.
The greatest common factor of 21/12,900/72,370/159 = [GCF of 21,900,370]/[LCM of 12,72,159]= 1/3816
Therefore, the GCF of 21/12,900/72,370/159 is 1/3816.
To find the highest common factor of 21,900,370, 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 900 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 21,900,370 is 1.
Lets's calculate GCF of 21,900,370
∴ 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 900
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 21,900,370 . The biggest common factor number is the GCF number.
So the greatest common factor 21,900,370 is 1.
Lets's calculate LCM of 12,72,159
2 | 12, 72, 159 |
2 | 6, 36, 159 |
3 | 3, 18, 159 |
1, 6, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 6 x 53 = 3816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3816
Therefore, the GCF of Fractions 21/12,900/72,370/159 is 1/3816
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 12,72,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,72,159) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(12,72,159) x common factors =3 x 12 = 36
LCM(12,72,159) = ( 12 × 72 × 159 ) / 36
LCM(12,72,159) = 137376 / 36
LCM(12,72,159) = 3816
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,900,370?
The HCF of 21,900,370 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 21/12, 900/72, 370/159?
Answer: GCF of Numerators as per given numbers 21/12, 900/72, 370/159 is
GCF of Numerators i.e. for 21,900,370 is 1
LCM of denominators i.e. for 12,72,159 is 3816.
Thus, GCF of Fractions is 1/3816.Finally, GCF of Fractions for 21/12, 900/72, 370/159 is 1/3816.