Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 121/38,702/17,158/954
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 121,702,158
Greatest Common Factor of Numerators i.e. GCF of 121,702,158 is 1 .
LCM of Denominators means LCM of 38,17,954 as per the given fractions.
LCM of 38,17,954 is 308142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 121,702,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 121,702,158 . The biggest common factor number is the GCF number.
So the greatest common factor 121,702,158 is 1.
Lets's calculate LCM of 38,17,954
2 | 38, 17, 954 |
19, 17, 477 |
∴ So the LCM of the given numbers is 2 x 19 x 17 x 477 = 308142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308142
Therefore, the GCF of Fractions 121/38,702/17,158/954 is 1/308142
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 38,17,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,17,954) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,17,954) x common factors =1 x 2 = 2
LCM(38,17,954) = ( 38 × 17 × 954 ) / 2
LCM(38,17,954) = 616284 / 2
LCM(38,17,954) = 308142
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 121/38, 702/17, 158/954?
Answer: GCF of Numerators as per given numbers 121/38, 702/17, 158/954 is
GCF of Numerators i.e. for 121,702,158 is 1
LCM of denominators i.e. for 38,17,954 is 308142.
Thus, GCF of Fractions is 1/308142.Finally, GCF of Fractions for 121/38, 702/17, 158/954 is 1/308142.