Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 490/926,591/811
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 490,591
Greatest Common Factor of Numerators i.e. GCF of 490,591 is 1 .
LCM of Denominators means LCM of 926,811 as per the given fractions.
LCM of 926,811 is 750986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 490,591
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 591
List of positive integer factors of 591 that divides 591 without a remainder.
1,3,197,591
Greatest Common Factor
We found the factors 490,591 . The biggest common factor number is the GCF number.
So the greatest common factor 490,591 is 1.
Lets's calculate LCM of 926,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 750986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/750986
Therefore, the GCF of Fractions 490/926,591/811 is 1/750986
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 926,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,811) x common factors =1 x 1 = 1
LCM(926,811) = ( 926 × 811 ) / 1
LCM(926,811) = 750986 / 1
LCM(926,811) = 750986
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 490/926, 591/811?
Answer: GCF of Numerators as per given numbers 490/926, 591/811 is
GCF of Numerators i.e. for 490,591 is 1
LCM of denominators i.e. for 926,811 is 750986.
Thus, GCF of Fractions is 1/750986.Finally, GCF of Fractions for 490/926, 591/811 is 1/750986.