Use our free GCF of Fractions Calculator tool to compute the GCF of 84/333, 394/974, 715/114 i.e 1/6162498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/333, 394/974, 715/114.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/333,394/974,715/114
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 84/333,394/974,715/114, numerators are 84,394,715
Denominators are 333,974,114
The GCF of 84,394,715 is 1 .
LCM of 333,974,114 is 6162498.
The greatest common factor of 84/333,394/974,715/114 = [GCF of 84,394,715]/[LCM of 333,974,114]= 1/6162498
Therefore, the GCF of 84/333,394/974,715/114 is 1/6162498.
To find the highest common factor of 84,394,715, we have to find the factors of both numbers and list the highest common factor.
The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 394 are 1, 2, 197, 394
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The HCF of 84,394,715 is 1.
Lets's calculate GCF of 84,394,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 84
:1,2,3,4,6,7,12,14,21,28,42,84
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 84,394,715 . The biggest common factor number is the GCF number.
So the greatest common factor 84,394,715 is 1.
Lets's calculate LCM of 333,974,114
2 | 333, 974, 114 |
3 | 333, 487, 57 |
111, 487, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 111 x 487 x 19 = 6162498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6162498
Therefore, the GCF of Fractions 84/333,394/974,715/114 is 1/6162498
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 333,974,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,974,114) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(333,974,114) x common factors =1 x 6 = 6
LCM(333,974,114) = ( 333 × 974 × 114 ) / 6
LCM(333,974,114) = 36974988 / 6
LCM(333,974,114) = 6162498
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 84,394,715?
The HCF of 84,394,715 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 84/333, 394/974, 715/114?
Answer: GCF of Numerators as per given numbers 84/333, 394/974, 715/114 is
GCF of Numerators i.e. for 84,394,715 is 1
LCM of denominators i.e. for 333,974,114 is 6162498.
Thus, GCF of Fractions is 1/6162498.Finally, GCF of Fractions for 84/333, 394/974, 715/114 is 1/6162498.