Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 158/949,2154/394
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 158,2154
Greatest Common Factor of Numerators i.e. GCF of 158,2154 is 2 .
LCM of Denominators means LCM of 949,394 as per the given fractions.
LCM of 949,394 is 373906 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 158,2154
2 | 158, 2154 |
79, 1077 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 2154
List of positive integer factors of 2154 that divides 2154 without a remainder.
1,2,3,6,359,718,1077,2154
Greatest Common Factor
We found the factors 158,2154 . The biggest common factor number is the GCF number.
So the greatest common factor 158,2154 is 2.
Lets's calculate LCM of 949,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 373906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/373906
Therefore, the GCF of Fractions 158/949,2154/394 is 2/373906
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 949,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,394) x common factors =1 x 1 = 1
LCM(949,394) = ( 949 × 394 ) / 1
LCM(949,394) = 373906 / 1
LCM(949,394) = 373906
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 158/949, 2154/394?
Answer: GCF of Numerators as per given numbers 158/949, 2154/394 is
GCF of Numerators i.e. for 158,2154 is 2
LCM of denominators i.e. for 949,394 is 373906.
Thus, GCF of Fractions is 2/373906.Finally, GCF of Fractions for 158/949, 2154/394 is 2/373906.