Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/40,669/6061
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 162,669
Greatest Common Factor of Numerators i.e. GCF of 162,669 is 3 .
LCM of Denominators means LCM of 40,6061 as per the given fractions.
LCM of 40,6061 is 242440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,669
3 | 162, 669 |
54, 223 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 162,669 . The biggest common factor number is the GCF number.
So the greatest common factor 162,669 is 3.
Lets's calculate LCM of 40,6061
Given numbers has no common factors except 1. So, there LCM is their product i.e 242440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/242440
Therefore, the GCF of Fractions 162/40,669/6061 is 3/242440
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 40,6061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,6061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,6061) x common factors =1 x 1 = 1
LCM(40,6061) = ( 40 × 6061 ) / 1
LCM(40,6061) = 242440 / 1
LCM(40,6061) = 242440
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 162/40, 669/6061?
Answer: GCF of Numerators as per given numbers 162/40, 669/6061 is
GCF of Numerators i.e. for 162,669 is 3
LCM of denominators i.e. for 40,6061 is 242440.
Thus, GCF of Fractions is 3/242440.Finally, GCF of Fractions for 162/40, 669/6061 is 3/242440.