Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 830/310,691/267,155/948
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 830,691,155
Greatest Common Factor of Numerators i.e. GCF of 830,691,155 is 1 .
LCM of Denominators means LCM of 310,267,948 as per the given fractions.
LCM of 310,267,948 is 13077660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 830,691,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 830,691,155 . The biggest common factor number is the GCF number.
So the greatest common factor 830,691,155 is 1.
Lets's calculate LCM of 310,267,948
2 | 310, 267, 948 |
3 | 155, 267, 474 |
155, 89, 158 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 89 x 158 = 13077660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13077660
Therefore, the GCF of Fractions 830/310,691/267,155/948 is 1/13077660
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 310,267,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,267,948) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(310,267,948) x common factors =1 x 6 = 6
LCM(310,267,948) = ( 310 × 267 × 948 ) / 6
LCM(310,267,948) = 78465960 / 6
LCM(310,267,948) = 13077660
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 830/310, 691/267, 155/948?
Answer: GCF of Numerators as per given numbers 830/310, 691/267, 155/948 is
GCF of Numerators i.e. for 830,691,155 is 1
LCM of denominators i.e. for 310,267,948 is 13077660.
Thus, GCF of Fractions is 1/13077660.Finally, GCF of Fractions for 830/310, 691/267, 155/948 is 1/13077660.