Use our free GCF of Fractions Calculator tool to compute the GCF of 46/745, 34/630, 329/732 i.e 1/11452140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/745, 34/630, 329/732.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/745,34/630,329/732
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 46/745,34/630,329/732, numerators are 46,34,329
Denominators are 745,630,732
The GCF of 46,34,329 is 1 .
LCM of 745,630,732 is 11452140.
The greatest common factor of 46/745,34/630,329/732 = [GCF of 46,34,329]/[LCM of 745,630,732]= 1/11452140
Therefore, the GCF of 46/745,34/630,329/732 is 1/11452140.
To find the highest common factor of 46,34,329, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 34 are 1, 2, 17, 34
The factors of 329 are 1, 7, 47, 329
The HCF of 46,34,329 is 1.
Lets's calculate GCF of 46,34,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 329
:1,7,47,329
Greatest Common Factor
We found the factors 46,34,329 . The biggest common factor number is the GCF number.
So the greatest common factor 46,34,329 is 1.
Lets's calculate LCM of 745,630,732
2 | 745, 630, 732 |
3 | 745, 315, 366 |
5 | 745, 105, 122 |
149, 21, 122 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 149 x 21 x 122 = 11452140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11452140
Therefore, the GCF of Fractions 46/745,34/630,329/732 is 1/11452140
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 745,630,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(745,630,732) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(745,630,732) x common factors =1 x 30 = 30
LCM(745,630,732) = ( 745 × 630 × 732 ) / 30
LCM(745,630,732) = 343564200 / 30
LCM(745,630,732) = 11452140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,34,329?
The HCF of 46,34,329 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 46/745, 34/630, 329/732?
Answer: GCF of Numerators as per given numbers 46/745, 34/630, 329/732 is
GCF of Numerators i.e. for 46,34,329 is 1
LCM of denominators i.e. for 745,630,732 is 11452140.
Thus, GCF of Fractions is 1/11452140.Finally, GCF of Fractions for 46/745, 34/630, 329/732 is 1/11452140.