Use our free GCF of Fractions Calculator tool to compute the GCF of 973/294, 834/872 i.e 139/128184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/294, 834/872.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 973/294,834/872
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 973/294,834/872, numerators are 973,834
Denominators are 294,872
The GCF of 973,834 is 139 .
LCM of 294,872 is 128184.
The greatest common factor of 973/294,834/872 = [GCF of 973,834]/[LCM of 294,872]= 139/128184
Therefore, the GCF of 973/294,834/872 is 139/128184.
To find the highest common factor of 973,834, we have to find the factors of both numbers and list the highest common factor.
The factors of 973 are 1, 7, 139, 973
The factors of 834 are 1, 2, 3, 6, 139, 278, 417, 834
The HCF of 973,834 is 139.
Lets's calculate GCF of 973,834
139 | 973, 834 |
7, 6 |
∴ So the GCF of the given numbers is 139 = 139
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 834
:1,2,3,6,139,278,417,834
Greatest Common Factor
We found the factors 973,834 . The biggest common factor number is the GCF number.
So the greatest common factor 973,834 is 139.
Lets's calculate LCM of 294,872
2 | 294, 872 |
147, 436 |
∴ So the LCM of the given numbers is 2 x 147 x 436 = 128184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/128184
Therefore, the GCF of Fractions 973/294,834/872 is 139/128184
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 294,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,872) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,872) x common factors =2 x 1 = 2
LCM(294,872) = ( 294 × 872 ) / 2
LCM(294,872) = 256368 / 2
LCM(294,872) = 128184
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 973,834?
The HCF of 973,834 is 139
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 973/294, 834/872?
Answer: GCF of Numerators as per given numbers 973/294, 834/872 is
GCF of Numerators i.e. for 973,834 is 139
LCM of denominators i.e. for 294,872 is 128184.
Thus, GCF of Fractions is 139/128184.Finally, GCF of Fractions for 973/294, 834/872 is 139/128184.