Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/734,898/839,935/655
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 571,898,935
Greatest Common Factor of Numerators i.e. GCF of 571,898,935 is 1 .
LCM of Denominators means LCM of 734,839,655 as per the given fractions.
LCM of 734,839,655 is 403366030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 571,898,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 571,898,935 . The biggest common factor number is the GCF number.
So the greatest common factor 571,898,935 is 1.
Lets's calculate LCM of 734,839,655
Given numbers has no common factors except 1. So, there LCM is their product i.e 403366030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/403366030
Therefore, the GCF of Fractions 571/734,898/839,935/655 is 1/403366030
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 734,839,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,839,655) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(734,839,655) x common factors =1 x 1 = 1
LCM(734,839,655) = ( 734 × 839 × 655 ) / 1
LCM(734,839,655) = 403366030 / 1
LCM(734,839,655) = 403366030
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 571/734, 898/839, 935/655?
Answer: GCF of Numerators as per given numbers 571/734, 898/839, 935/655 is
GCF of Numerators i.e. for 571,898,935 is 1
LCM of denominators i.e. for 734,839,655 is 403366030.
Thus, GCF of Fractions is 1/403366030.Finally, GCF of Fractions for 571/734, 898/839, 935/655 is 1/403366030.