Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5826/586,2471/8425
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 5826,2471
Greatest Common Factor of Numerators i.e. GCF of 5826,2471 is 1 .
LCM of Denominators means LCM of 586,8425 as per the given fractions.
LCM of 586,8425 is 4937050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5826,2471
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5826
List of positive integer factors of 5826 that divides 5826 without a remainder.
1,2,3,6,971,1942,2913,5826
Factors of 2471
List of positive integer factors of 2471 that divides 2471 without a remainder.
1,7,353,2471
Greatest Common Factor
We found the factors 5826,2471 . The biggest common factor number is the GCF number.
So the greatest common factor 5826,2471 is 1.
Lets's calculate LCM of 586,8425
Given numbers has no common factors except 1. So, there LCM is their product i.e 4937050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4937050
Therefore, the GCF of Fractions 5826/586,2471/8425 is 1/4937050
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 586,8425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,8425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,8425) x common factors =1 x 1 = 1
LCM(586,8425) = ( 586 × 8425 ) / 1
LCM(586,8425) = 4937050 / 1
LCM(586,8425) = 4937050
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 5826/586, 2471/8425?
Answer: GCF of Numerators as per given numbers 5826/586, 2471/8425 is
GCF of Numerators i.e. for 5826,2471 is 1
LCM of denominators i.e. for 586,8425 is 4937050.
Thus, GCF of Fractions is 1/4937050.Finally, GCF of Fractions for 5826/586, 2471/8425 is 1/4937050.