Use our free GCF of Fractions Calculator tool to compute the GCF of 21/33, 182/87, 630/861 i.e 7/274659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/33, 182/87, 630/861.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/33,182/87,630/861
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 21/33,182/87,630/861, numerators are 21,182,630
Denominators are 33,87,861
The GCF of 21,182,630 is 7 .
LCM of 33,87,861 is 274659.
The greatest common factor of 21/33,182/87,630/861 = [GCF of 21,182,630]/[LCM of 33,87,861]= 7/274659
Therefore, the GCF of 21/33,182/87,630/861 is 7/274659.
To find the highest common factor of 21,182,630, 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 182 are 1, 2, 7, 13, 14, 26, 91, 182
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 21,182,630 is 7.
Lets's calculate GCF of 21,182,630
7 | 21, 182, 630 |
3, 26, 90 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 182
:1,2,7,13,14,26,91,182
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 21,182,630 . The biggest common factor number is the GCF number.
So the greatest common factor 21,182,630 is 7.
Lets's calculate LCM of 33,87,861
3 | 33, 87, 861 |
11, 29, 287 |
∴ So the LCM of the given numbers is 3 x 11 x 29 x 287 = 274659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/274659
Therefore, the GCF of Fractions 21/33,182/87,630/861 is 7/274659
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 33,87,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,87,861) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(33,87,861) x common factors =3 x 3 = 9
LCM(33,87,861) = ( 33 × 87 × 861 ) / 9
LCM(33,87,861) = 2471931 / 9
LCM(33,87,861) = 274659
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,182,630?
The HCF of 21,182,630 is 7
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 21/33, 182/87, 630/861?
Answer: GCF of Numerators as per given numbers 21/33, 182/87, 630/861 is
GCF of Numerators i.e. for 21,182,630 is 7
LCM of denominators i.e. for 33,87,861 is 274659.
Thus, GCF of Fractions is 7/274659.Finally, GCF of Fractions for 21/33, 182/87, 630/861 is 7/274659.