Use our free GCF of Fractions Calculator tool to compute the GCF of 23/85, 234/49, 923/498 i.e 1/2074170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/85, 234/49, 923/498.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/85,234/49,923/498
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 23/85,234/49,923/498, numerators are 23,234,923
Denominators are 85,49,498
The GCF of 23,234,923 is 1 .
LCM of 85,49,498 is 2074170.
The greatest common factor of 23/85,234/49,923/498 = [GCF of 23,234,923]/[LCM of 85,49,498]= 1/2074170
Therefore, the GCF of 23/85,234/49,923/498 is 1/2074170.
To find the highest common factor of 23,234,923, 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 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The factors of 923 are 1, 13, 71, 923
The HCF of 23,234,923 is 1.
Lets's calculate GCF of 23,234,923
∴ 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 234
:1,2,3,6,9,13,18,26,39,78,117,234
Now, list down the factors of 923
:1,13,71,923
Greatest Common Factor
We found the factors 23,234,923 . The biggest common factor number is the GCF number.
So the greatest common factor 23,234,923 is 1.
Lets's calculate LCM of 85,49,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 2074170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2074170
Therefore, the GCF of Fractions 23/85,234/49,923/498 is 1/2074170
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 85,49,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,49,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,49,498) x common factors =1 x 1 = 1
LCM(85,49,498) = ( 85 × 49 × 498 ) / 1
LCM(85,49,498) = 2074170 / 1
LCM(85,49,498) = 2074170
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 23,234,923?
The HCF of 23,234,923 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 23/85, 234/49, 923/498?
Answer: GCF of Numerators as per given numbers 23/85, 234/49, 923/498 is
GCF of Numerators i.e. for 23,234,923 is 1
LCM of denominators i.e. for 85,49,498 is 2074170.
Thus, GCF of Fractions is 1/2074170.Finally, GCF of Fractions for 23/85, 234/49, 923/498 is 1/2074170.