Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 966/85,442/97,246/69
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 966,442,246
Greatest Common Factor of Numerators i.e. GCF of 966,442,246 is 2 .
LCM of Denominators means LCM of 85,97,69 as per the given fractions.
LCM of 85,97,69 is 568905 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 966,442,246
2 | 966, 442, 246 |
483, 221, 123 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 966,442,246 . The biggest common factor number is the GCF number.
So the greatest common factor 966,442,246 is 2.
Lets's calculate LCM of 85,97,69
Given numbers has no common factors except 1. So, there LCM is their product i.e 568905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/568905
Therefore, the GCF of Fractions 966/85,442/97,246/69 is 2/568905
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 85,97,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,97,69) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,97,69) x common factors =1 x 1 = 1
LCM(85,97,69) = ( 85 × 97 × 69 ) / 1
LCM(85,97,69) = 568905 / 1
LCM(85,97,69) = 568905
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 966/85, 442/97, 246/69?
Answer: GCF of Numerators as per given numbers 966/85, 442/97, 246/69 is
GCF of Numerators i.e. for 966,442,246 is 2
LCM of denominators i.e. for 85,97,69 is 568905.
Thus, GCF of Fractions is 2/568905.Finally, GCF of Fractions for 966/85, 442/97, 246/69 is 2/568905.