Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/579,398/943,154/343
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 290,398,154
Greatest Common Factor of Numerators i.e. GCF of 290,398,154 is 2 .
LCM of Denominators means LCM of 579,943,343 as per the given fractions.
LCM of 579,943,343 is 187276971 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 290,398,154
2 | 290, 398, 154 |
145, 199, 77 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Greatest Common Factor
We found the factors 290,398,154 . The biggest common factor number is the GCF number.
So the greatest common factor 290,398,154 is 2.
Lets's calculate LCM of 579,943,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 187276971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187276971
Therefore, the GCF of Fractions 290/579,398/943,154/343 is 2/187276971
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 579,943,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,943,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,943,343) x common factors =1 x 1 = 1
LCM(579,943,343) = ( 579 × 943 × 343 ) / 1
LCM(579,943,343) = 187276971 / 1
LCM(579,943,343) = 187276971
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 290/579, 398/943, 154/343?
Answer: GCF of Numerators as per given numbers 290/579, 398/943, 154/343 is
GCF of Numerators i.e. for 290,398,154 is 2
LCM of denominators i.e. for 579,943,343 is 187276971.
Thus, GCF of Fractions is 2/187276971.Finally, GCF of Fractions for 290/579, 398/943, 154/343 is 2/187276971.