Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 946/30,166/162
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 946,166
Greatest Common Factor of Numerators i.e. GCF of 946,166 is 2 .
LCM of Denominators means LCM of 30,162 as per the given fractions.
LCM of 30,162 is 810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 946,166
2 | 946, 166 |
473, 83 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 946,166 . The biggest common factor number is the GCF number.
So the greatest common factor 946,166 is 2.
Lets's calculate LCM of 30,162
2 | 30, 162 |
3 | 15, 81 |
5, 27 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 27 = 810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/810
Therefore, the GCF of Fractions 946/30,166/162 is 2/810
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 30,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,162) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(30,162) x common factors =6 x 1 = 6
LCM(30,162) = ( 30 × 162 ) / 6
LCM(30,162) = 4860 / 6
LCM(30,162) = 810
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 946/30, 166/162?
Answer: GCF of Numerators as per given numbers 946/30, 166/162 is
GCF of Numerators i.e. for 946,166 is 2
LCM of denominators i.e. for 30,162 is 810.
Thus, GCF of Fractions is 2/810.Finally, GCF of Fractions for 946/30, 166/162 is 2/810.