Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 350/79,441/21,309/558
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 350,441,309
Greatest Common Factor of Numerators i.e. GCF of 350,441,309 is 1 .
LCM of Denominators means LCM of 79,21,558 as per the given fractions.
LCM of 79,21,558 is 308574 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 350,441,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 350,441,309 . The biggest common factor number is the GCF number.
So the greatest common factor 350,441,309 is 1.
Lets's calculate LCM of 79,21,558
3 | 79, 21, 558 |
79, 7, 186 |
∴ So the LCM of the given numbers is 3 x 79 x 7 x 186 = 308574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308574
Therefore, the GCF of Fractions 350/79,441/21,309/558 is 1/308574
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 79,21,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,21,558) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(79,21,558) x common factors =1 x 3 = 3
LCM(79,21,558) = ( 79 × 21 × 558 ) / 3
LCM(79,21,558) = 925722 / 3
LCM(79,21,558) = 308574
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 350/79, 441/21, 309/558?
Answer: GCF of Numerators as per given numbers 350/79, 441/21, 309/558 is
GCF of Numerators i.e. for 350,441,309 is 1
LCM of denominators i.e. for 79,21,558 is 308574.
Thus, GCF of Fractions is 1/308574.Finally, GCF of Fractions for 350/79, 441/21, 309/558 is 1/308574.