Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/728,514/706,474/238
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 147,514,474
Greatest Common Factor of Numerators i.e. GCF of 147,514,474 is 1 .
LCM of Denominators means LCM of 728,706,238 as per the given fractions.
LCM of 728,706,238 is 4368728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 147,514,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 147,514,474 . The biggest common factor number is the GCF number.
So the greatest common factor 147,514,474 is 1.
Lets's calculate LCM of 728,706,238
2 | 728, 706, 238 |
7 | 364, 353, 119 |
52, 353, 17 |
∴ So the LCM of the given numbers is 2 x 7 x 52 x 353 x 17 = 4368728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4368728
Therefore, the GCF of Fractions 147/728,514/706,474/238 is 1/4368728
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 728,706,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,706,238) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(728,706,238) x common factors =2 x 14 = 28
LCM(728,706,238) = ( 728 × 706 × 238 ) / 28
LCM(728,706,238) = 122324384 / 28
LCM(728,706,238) = 4368728
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 147/728, 514/706, 474/238?
Answer: GCF of Numerators as per given numbers 147/728, 514/706, 474/238 is
GCF of Numerators i.e. for 147,514,474 is 1
LCM of denominators i.e. for 728,706,238 is 4368728.
Thus, GCF of Fractions is 1/4368728.Finally, GCF of Fractions for 147/728, 514/706, 474/238 is 1/4368728.