Use our free GCF of Fractions Calculator tool to compute the GCF of 23/678, 404/518, 114/333 i.e 1/526806 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/678, 404/518, 114/333.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/678,404/518,114/333
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 23/678,404/518,114/333, numerators are 23,404,114
Denominators are 678,518,333
The GCF of 23,404,114 is 1 .
LCM of 678,518,333 is 526806.
The greatest common factor of 23/678,404/518,114/333 = [GCF of 23,404,114]/[LCM of 678,518,333]= 1/526806
Therefore, the GCF of 23/678,404/518,114/333 is 1/526806.
To find the highest common factor of 23,404,114, we have to find the factors of both numbers and list the highest common factor.
The factors of 23 are 1, 23
The factors of 404 are 1, 2, 4, 101, 202, 404
The factors of 114 are 1, 2, 3, 6, 19, 38, 57, 114
The HCF of 23,404,114 is 1.
Lets's calculate GCF of 23,404,114
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 23
:1,23
Now, list down the factors of 404
:1,2,4,101,202,404
Now, list down the factors of 114
:1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 23,404,114 . The biggest common factor number is the GCF number.
So the greatest common factor 23,404,114 is 1.
Lets's calculate LCM of 678,518,333
2 | 678, 518, 333 |
3 | 339, 259, 333 |
37 | 113, 259, 111 |
113, 7, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 113 x 7 x 3 = 526806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526806
Therefore, the GCF of Fractions 23/678,404/518,114/333 is 1/526806
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 678,518,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,518,333) = 1
common factors(in case of two or more numbers have common factors) = 222
GCF(678,518,333) x common factors =1 x 222 = 222
LCM(678,518,333) = ( 678 × 518 × 333 ) / 222
LCM(678,518,333) = 116950932 / 222
LCM(678,518,333) = 526806
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,404,114?
The HCF of 23,404,114 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 23/678, 404/518, 114/333?
Answer: GCF of Numerators as per given numbers 23/678, 404/518, 114/333 is
GCF of Numerators i.e. for 23,404,114 is 1
LCM of denominators i.e. for 678,518,333 is 526806.
Thus, GCF of Fractions is 1/526806.Finally, GCF of Fractions for 23/678, 404/518, 114/333 is 1/526806.