Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/819,601/165,108/402
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 149,601,108
Greatest Common Factor of Numerators i.e. GCF of 149,601,108 is 1 .
LCM of Denominators means LCM of 819,165,402 as per the given fractions.
LCM of 819,165,402 is 6036030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 149,601,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 149,601,108 . The biggest common factor number is the GCF number.
So the greatest common factor 149,601,108 is 1.
Lets's calculate LCM of 819,165,402
3 | 819, 165, 402 |
273, 55, 134 |
∴ So the LCM of the given numbers is 3 x 273 x 55 x 134 = 6036030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6036030
Therefore, the GCF of Fractions 149/819,601/165,108/402 is 1/6036030
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 819,165,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,165,402) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(819,165,402) x common factors =3 x 3 = 9
LCM(819,165,402) = ( 819 × 165 × 402 ) / 9
LCM(819,165,402) = 54324270 / 9
LCM(819,165,402) = 6036030
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 149/819, 601/165, 108/402?
Answer: GCF of Numerators as per given numbers 149/819, 601/165, 108/402 is
GCF of Numerators i.e. for 149,601,108 is 1
LCM of denominators i.e. for 819,165,402 is 6036030.
Thus, GCF of Fractions is 1/6036030.Finally, GCF of Fractions for 149/819, 601/165, 108/402 is 1/6036030.