Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/397,494/419
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 156,494
Greatest Common Factor of Numerators i.e. GCF of 156,494 is 26 .
LCM of Denominators means LCM of 397,419 as per the given fractions.
LCM of 397,419 is 166343 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 156,494
2 | 156, 494 |
13 | 78, 247 |
6, 19 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Greatest Common Factor
We found the factors 156,494 . The biggest common factor number is the GCF number.
So the greatest common factor 156,494 is 26.
Lets's calculate LCM of 397,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 166343
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/166343
Therefore, the GCF of Fractions 156/397,494/419 is 26/166343
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 397,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,419) x common factors =1 x 1 = 1
LCM(397,419) = ( 397 × 419 ) / 1
LCM(397,419) = 166343 / 1
LCM(397,419) = 166343
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 156/397, 494/419?
Answer: GCF of Numerators as per given numbers 156/397, 494/419 is
GCF of Numerators i.e. for 156,494 is 26
LCM of denominators i.e. for 397,419 is 166343.
Thus, GCF of Fractions is 26/166343.Finally, GCF of Fractions for 156/397, 494/419 is 26/166343.