Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 398/675,548/571,566/794
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 398,548,566
Greatest Common Factor of Numerators i.e. GCF of 398,548,566 is 2 .
LCM of Denominators means LCM of 675,571,794 as per the given fractions.
LCM of 675,571,794 is 306027450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 398,548,566
2 | 398, 548, 566 |
199, 274, 283 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 398,548,566 . The biggest common factor number is the GCF number.
So the greatest common factor 398,548,566 is 2.
Lets's calculate LCM of 675,571,794
Given numbers has no common factors except 1. So, there LCM is their product i.e 306027450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306027450
Therefore, the GCF of Fractions 398/675,548/571,566/794 is 2/306027450
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 675,571,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,571,794) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,571,794) x common factors =1 x 1 = 1
LCM(675,571,794) = ( 675 × 571 × 794 ) / 1
LCM(675,571,794) = 306027450 / 1
LCM(675,571,794) = 306027450
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 398/675, 548/571, 566/794?
Answer: GCF of Numerators as per given numbers 398/675, 548/571, 566/794 is
GCF of Numerators i.e. for 398,548,566 is 2
LCM of denominators i.e. for 675,571,794 is 306027450.
Thus, GCF of Fractions is 2/306027450.Finally, GCF of Fractions for 398/675, 548/571, 566/794 is 2/306027450.