Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/915,473/159,390/106
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 11,473,390
Greatest Common Factor of Numerators i.e. GCF of 11,473,390 is 1 .
LCM of Denominators means LCM of 915,159,106 as per the given fractions.
LCM of 915,159,106 is 96990 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,473,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 11,473,390 . The biggest common factor number is the GCF number.
So the greatest common factor 11,473,390 is 1.
Lets's calculate LCM of 915,159,106
3 | 915, 159, 106 |
53 | 305, 53, 106 |
305, 1, 2 |
∴ So the LCM of the given numbers is 3 x 53 x 305 x 1 x 2 = 96990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96990
Therefore, the GCF of Fractions 11/915,473/159,390/106 is 1/96990
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 915,159,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(915,159,106) = 1
common factors(in case of two or more numbers have common factors) = 159
GCF(915,159,106) x common factors =1 x 159 = 159
LCM(915,159,106) = ( 915 × 159 × 106 ) / 159
LCM(915,159,106) = 15421410 / 159
LCM(915,159,106) = 96990
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 11/915, 473/159, 390/106?
Answer: GCF of Numerators as per given numbers 11/915, 473/159, 390/106 is
GCF of Numerators i.e. for 11,473,390 is 1
LCM of denominators i.e. for 915,159,106 is 96990.
Thus, GCF of Fractions is 1/96990.Finally, GCF of Fractions for 11/915, 473/159, 390/106 is 1/96990.