Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 226/2137,168/5940
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 226,168
Greatest Common Factor of Numerators i.e. GCF of 226,168 is 2 .
LCM of Denominators means LCM of 2137,5940 as per the given fractions.
LCM of 2137,5940 is 12693780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 226,168
2 | 226, 168 |
113, 84 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 226,168 . The biggest common factor number is the GCF number.
So the greatest common factor 226,168 is 2.
Lets's calculate LCM of 2137,5940
Given numbers has no common factors except 1. So, there LCM is their product i.e 12693780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12693780
Therefore, the GCF of Fractions 226/2137,168/5940 is 2/12693780
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 2137,5940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2137,5940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2137,5940) x common factors =1 x 1 = 1
LCM(2137,5940) = ( 2137 × 5940 ) / 1
LCM(2137,5940) = 12693780 / 1
LCM(2137,5940) = 12693780
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 226/2137, 168/5940?
Answer: GCF of Numerators as per given numbers 226/2137, 168/5940 is
GCF of Numerators i.e. for 226,168 is 2
LCM of denominators i.e. for 2137,5940 is 12693780.
Thus, GCF of Fractions is 2/12693780.Finally, GCF of Fractions for 226/2137, 168/5940 is 2/12693780.