Use our free GCF of Fractions Calculator tool to compute the GCF of 66/182, 898/682, 503/372 i.e 1/372372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/182, 898/682, 503/372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/182,898/682,503/372
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 66/182,898/682,503/372, numerators are 66,898,503
Denominators are 182,682,372
The GCF of 66,898,503 is 1 .
LCM of 182,682,372 is 372372.
The greatest common factor of 66/182,898/682,503/372 = [GCF of 66,898,503]/[LCM of 182,682,372]= 1/372372
Therefore, the GCF of 66/182,898/682,503/372 is 1/372372.
To find the highest common factor of 66,898,503, we have to find the factors of both numbers and list the highest common factor.
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 898 are 1, 2, 449, 898
The factors of 503 are 1, 503
The HCF of 66,898,503 is 1.
Lets's calculate GCF of 66,898,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 503
:1,503
Greatest Common Factor
We found the factors 66,898,503 . The biggest common factor number is the GCF number.
So the greatest common factor 66,898,503 is 1.
Lets's calculate LCM of 182,682,372
2 | 182, 682, 372 |
31 | 91, 341, 186 |
91, 11, 6 |
∴ So the LCM of the given numbers is 2 x 31 x 91 x 11 x 6 = 372372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/372372
Therefore, the GCF of Fractions 66/182,898/682,503/372 is 1/372372
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 182,682,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(182,682,372) = 2
common factors(in case of two or more numbers have common factors) = 62
GCF(182,682,372) x common factors =2 x 62 = 124
LCM(182,682,372) = ( 182 × 682 × 372 ) / 124
LCM(182,682,372) = 46174128 / 124
LCM(182,682,372) = 372372
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 66,898,503?
The HCF of 66,898,503 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 66/182, 898/682, 503/372?
Answer: GCF of Numerators as per given numbers 66/182, 898/682, 503/372 is
GCF of Numerators i.e. for 66,898,503 is 1
LCM of denominators i.e. for 182,682,372 is 372372.
Thus, GCF of Fractions is 1/372372.Finally, GCF of Fractions for 66/182, 898/682, 503/372 is 1/372372.