Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3025/700,5823/5933
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 3025,5823
Greatest Common Factor of Numerators i.e. GCF of 3025,5823 is 1 .
LCM of Denominators means LCM of 700,5933 as per the given fractions.
LCM of 700,5933 is 4153100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3025,5823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3025
List of positive integer factors of 3025 that divides 3025 without a remainder.
1,5,11,25,55,121,275,605,3025
Factors of 5823
List of positive integer factors of 5823 that divides 5823 without a remainder.
1,3,9,647,1941,5823
Greatest Common Factor
We found the factors 3025,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 3025,5823 is 1.
Lets's calculate LCM of 700,5933
Given numbers has no common factors except 1. So, there LCM is their product i.e 4153100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4153100
Therefore, the GCF of Fractions 3025/700,5823/5933 is 1/4153100
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 700,5933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,5933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(700,5933) x common factors =1 x 1 = 1
LCM(700,5933) = ( 700 × 5933 ) / 1
LCM(700,5933) = 4153100 / 1
LCM(700,5933) = 4153100
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 3025/700, 5823/5933?
Answer: GCF of Numerators as per given numbers 3025/700, 5823/5933 is
GCF of Numerators i.e. for 3025,5823 is 1
LCM of denominators i.e. for 700,5933 is 4153100.
Thus, GCF of Fractions is 1/4153100.Finally, GCF of Fractions for 3025/700, 5823/5933 is 1/4153100.