Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/92,441/25,589/589
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 695,441,589
Greatest Common Factor of Numerators i.e. GCF of 695,441,589 is 1 .
LCM of Denominators means LCM of 92,25,589 as per the given fractions.
LCM of 92,25,589 is 1354700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 695,441,589
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
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 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Greatest Common Factor
We found the factors 695,441,589 . The biggest common factor number is the GCF number.
So the greatest common factor 695,441,589 is 1.
Lets's calculate LCM of 92,25,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 1354700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1354700
Therefore, the GCF of Fractions 695/92,441/25,589/589 is 1/1354700
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 92,25,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,25,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,25,589) x common factors =1 x 1 = 1
LCM(92,25,589) = ( 92 × 25 × 589 ) / 1
LCM(92,25,589) = 1354700 / 1
LCM(92,25,589) = 1354700
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 695/92, 441/25, 589/589?
Answer: GCF of Numerators as per given numbers 695/92, 441/25, 589/589 is
GCF of Numerators i.e. for 695,441,589 is 1
LCM of denominators i.e. for 92,25,589 is 1354700.
Thus, GCF of Fractions is 1/1354700.Finally, GCF of Fractions for 695/92, 441/25, 589/589 is 1/1354700.