Use our free GCF of Fractions Calculator tool to compute the GCF of 21/247, 45/786, 372/342 i.e 3/582426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/247, 45/786, 372/342.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/247,45/786,372/342
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 21/247,45/786,372/342, numerators are 21,45,372
Denominators are 247,786,342
The GCF of 21,45,372 is 3 .
LCM of 247,786,342 is 582426.
The greatest common factor of 21/247,45/786,372/342 = [GCF of 21,45,372]/[LCM of 247,786,342]= 3/582426
Therefore, the GCF of 21/247,45/786,372/342 is 3/582426.
To find the highest common factor of 21,45,372, 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 45 are 1, 3, 5, 9, 15, 45
The factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
The HCF of 21,45,372 is 3.
Lets's calculate GCF of 21,45,372
3 | 21, 45, 372 |
7, 15, 124 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 372
:1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 21,45,372 . The biggest common factor number is the GCF number.
So the greatest common factor 21,45,372 is 3.
Lets's calculate LCM of 247,786,342
2 | 247, 786, 342 |
3 | 247, 393, 171 |
19 | 247, 131, 57 |
13, 131, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 13 x 131 x 3 = 582426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/582426
Therefore, the GCF of Fractions 21/247,45/786,372/342 is 3/582426
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 247,786,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,786,342) = 1
common factors(in case of two or more numbers have common factors) = 114
GCF(247,786,342) x common factors =1 x 114 = 114
LCM(247,786,342) = ( 247 × 786 × 342 ) / 114
LCM(247,786,342) = 66396564 / 114
LCM(247,786,342) = 582426
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,45,372?
The HCF of 21,45,372 is 3
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 21/247, 45/786, 372/342?
Answer: GCF of Numerators as per given numbers 21/247, 45/786, 372/342 is
GCF of Numerators i.e. for 21,45,372 is 3
LCM of denominators i.e. for 247,786,342 is 582426.
Thus, GCF of Fractions is 3/582426.Finally, GCF of Fractions for 21/247, 45/786, 372/342 is 3/582426.