Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/58,326/72,588/592
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 718,326,588
Greatest Common Factor of Numerators i.e. GCF of 718,326,588 is 2 .
LCM of Denominators means LCM of 58,72,592 as per the given fractions.
LCM of 58,72,592 is 154512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,326,588
2 | 718, 326, 588 |
359, 163, 294 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Greatest Common Factor
We found the factors 718,326,588 . The biggest common factor number is the GCF number.
So the greatest common factor 718,326,588 is 2.
Lets's calculate LCM of 58,72,592
2 | 58, 72, 592 |
2 | 29, 36, 296 |
2 | 29, 18, 148 |
29, 9, 74 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 9 x 74 = 154512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/154512
Therefore, the GCF of Fractions 718/58,326/72,588/592 is 2/154512
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 58,72,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,72,592) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(58,72,592) x common factors =2 x 8 = 16
LCM(58,72,592) = ( 58 × 72 × 592 ) / 16
LCM(58,72,592) = 2472192 / 16
LCM(58,72,592) = 154512
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 718/58, 326/72, 588/592?
Answer: GCF of Numerators as per given numbers 718/58, 326/72, 588/592 is
GCF of Numerators i.e. for 718,326,588 is 2
LCM of denominators i.e. for 58,72,592 is 154512.
Thus, GCF of Fractions is 2/154512.Finally, GCF of Fractions for 718/58, 326/72, 588/592 is 2/154512.