Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/766,235/581
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 46,235
Greatest Common Factor of Numerators i.e. GCF of 46,235 is 1 .
LCM of Denominators means LCM of 766,581 as per the given fractions.
LCM of 766,581 is 445046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 46,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 46,235 . The biggest common factor number is the GCF number.
So the greatest common factor 46,235 is 1.
Lets's calculate LCM of 766,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 445046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/445046
Therefore, the GCF of Fractions 46/766,235/581 is 1/445046
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 766,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,581) x common factors =1 x 1 = 1
LCM(766,581) = ( 766 × 581 ) / 1
LCM(766,581) = 445046 / 1
LCM(766,581) = 445046
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 46/766, 235/581?
Answer: GCF of Numerators as per given numbers 46/766, 235/581 is
GCF of Numerators i.e. for 46,235 is 1
LCM of denominators i.e. for 766,581 is 445046.
Thus, GCF of Fractions is 1/445046.Finally, GCF of Fractions for 46/766, 235/581 is 1/445046.