Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 581/41,354/8662
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 581,354
Greatest Common Factor of Numerators i.e. GCF of 581,354 is 1 .
LCM of Denominators means LCM of 41,8662 as per the given fractions.
LCM of 41,8662 is 355142 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 581,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 581,354 . The biggest common factor number is the GCF number.
So the greatest common factor 581,354 is 1.
Lets's calculate LCM of 41,8662
Given numbers has no common factors except 1. So, there LCM is their product i.e 355142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355142
Therefore, the GCF of Fractions 581/41,354/8662 is 1/355142
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 41,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,8662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,8662) x common factors =1 x 1 = 1
LCM(41,8662) = ( 41 × 8662 ) / 1
LCM(41,8662) = 355142 / 1
LCM(41,8662) = 355142
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 581/41, 354/8662?
Answer: GCF of Numerators as per given numbers 581/41, 354/8662 is
GCF of Numerators i.e. for 581,354 is 1
LCM of denominators i.e. for 41,8662 is 355142.
Thus, GCF of Fractions is 1/355142.Finally, GCF of Fractions for 581/41, 354/8662 is 1/355142.