Use our free GCF of Fractions Calculator tool to compute the GCF of 34/54, 741/26, 590/756 i.e 1/9828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/54, 741/26, 590/756.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/54,741/26,590/756
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 34/54,741/26,590/756, numerators are 34,741,590
Denominators are 54,26,756
The GCF of 34,741,590 is 1 .
LCM of 54,26,756 is 9828.
The greatest common factor of 34/54,741/26,590/756 = [GCF of 34,741,590]/[LCM of 54,26,756]= 1/9828
Therefore, the GCF of 34/54,741/26,590/756 is 1/9828.
To find the highest common factor of 34,741,590, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The HCF of 34,741,590 is 1.
Lets's calculate GCF of 34,741,590
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Greatest Common Factor
We found the factors 34,741,590 . The biggest common factor number is the GCF number.
So the greatest common factor 34,741,590 is 1.
Lets's calculate LCM of 54,26,756
2 | 54, 26, 756 |
3 | 27, 13, 378 |
3 | 9, 13, 126 |
3 | 3, 13, 42 |
1, 13, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 13 x 14 = 9828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9828
Therefore, the GCF of Fractions 34/54,741/26,590/756 is 1/9828
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 54,26,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,26,756) = 2
common factors(in case of two or more numbers have common factors) = 54
GCF(54,26,756) x common factors =2 x 54 = 108
LCM(54,26,756) = ( 54 × 26 × 756 ) / 108
LCM(54,26,756) = 1061424 / 108
LCM(54,26,756) = 9828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 34,741,590?
The HCF of 34,741,590 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 34/54, 741/26, 590/756?
Answer: GCF of Numerators as per given numbers 34/54, 741/26, 590/756 is
GCF of Numerators i.e. for 34,741,590 is 1
LCM of denominators i.e. for 54,26,756 is 9828.
Thus, GCF of Fractions is 1/9828.Finally, GCF of Fractions for 34/54, 741/26, 590/756 is 1/9828.