Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 390/65,951/24,153/907
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 390,951,153
Greatest Common Factor of Numerators i.e. GCF of 390,951,153 is 3 .
LCM of Denominators means LCM of 65,24,907 as per the given fractions.
LCM of 65,24,907 is 1414920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 390,951,153
3 | 390, 951, 153 |
130, 317, 51 |
∴ So the GCF of the given numbers is 3 = 3
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
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 390,951,153 . The biggest common factor number is the GCF number.
So the greatest common factor 390,951,153 is 3.
Lets's calculate LCM of 65,24,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 1414920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1414920
Therefore, the GCF of Fractions 390/65,951/24,153/907 is 3/1414920
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 65,24,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,24,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,24,907) x common factors =1 x 1 = 1
LCM(65,24,907) = ( 65 × 24 × 907 ) / 1
LCM(65,24,907) = 1414920 / 1
LCM(65,24,907) = 1414920
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 390/65, 951/24, 153/907?
Answer: GCF of Numerators as per given numbers 390/65, 951/24, 153/907 is
GCF of Numerators i.e. for 390,951,153 is 3
LCM of denominators i.e. for 65,24,907 is 1414920.
Thus, GCF of Fractions is 3/1414920.Finally, GCF of Fractions for 390/65, 951/24, 153/907 is 3/1414920.