Use our free GCF of Fractions Calculator tool to compute the GCF of 21/119, 43/144, 745/987 i.e 1/805392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/119, 43/144, 745/987.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/119,43/144,745/987
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 21/119,43/144,745/987, numerators are 21,43,745
Denominators are 119,144,987
The GCF of 21,43,745 is 1 .
LCM of 119,144,987 is 805392.
The greatest common factor of 21/119,43/144,745/987 = [GCF of 21,43,745]/[LCM of 119,144,987]= 1/805392
Therefore, the GCF of 21/119,43/144,745/987 is 1/805392.
To find the highest common factor of 21,43,745, 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 43 are 1, 43
The factors of 745 are 1, 5, 149, 745
The HCF of 21,43,745 is 1.
Lets's calculate GCF of 21,43,745
∴ 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 43
:1,43
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 21,43,745 . The biggest common factor number is the GCF number.
So the greatest common factor 21,43,745 is 1.
Lets's calculate LCM of 119,144,987
3 | 119, 144, 987 |
7 | 119, 48, 329 |
17, 48, 47 |
∴ So the LCM of the given numbers is 3 x 7 x 17 x 48 x 47 = 805392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805392
Therefore, the GCF of Fractions 21/119,43/144,745/987 is 1/805392
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 119,144,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,144,987) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(119,144,987) x common factors =1 x 21 = 21
LCM(119,144,987) = ( 119 × 144 × 987 ) / 21
LCM(119,144,987) = 16913232 / 21
LCM(119,144,987) = 805392
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,43,745?
The HCF of 21,43,745 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 21/119, 43/144, 745/987?
Answer: GCF of Numerators as per given numbers 21/119, 43/144, 745/987 is
GCF of Numerators i.e. for 21,43,745 is 1
LCM of denominators i.e. for 119,144,987 is 805392.
Thus, GCF of Fractions is 1/805392.Finally, GCF of Fractions for 21/119, 43/144, 745/987 is 1/805392.