Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 446/13,166/85,950/122
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 446,166,950
Greatest Common Factor of Numerators i.e. GCF of 446,166,950 is 2 .
LCM of Denominators means LCM of 13,85,122 as per the given fractions.
LCM of 13,85,122 is 134810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 446,166,950
2 | 446, 166, 950 |
223, 83, 475 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 446,166,950 . The biggest common factor number is the GCF number.
So the greatest common factor 446,166,950 is 2.
Lets's calculate LCM of 13,85,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 134810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/134810
Therefore, the GCF of Fractions 446/13,166/85,950/122 is 2/134810
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 13,85,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,85,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,85,122) x common factors =1 x 1 = 1
LCM(13,85,122) = ( 13 × 85 × 122 ) / 1
LCM(13,85,122) = 134810 / 1
LCM(13,85,122) = 134810
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 446/13, 166/85, 950/122?
Answer: GCF of Numerators as per given numbers 446/13, 166/85, 950/122 is
GCF of Numerators i.e. for 446,166,950 is 2
LCM of denominators i.e. for 13,85,122 is 134810.
Thus, GCF of Fractions is 2/134810.Finally, GCF of Fractions for 446/13, 166/85, 950/122 is 2/134810.