Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 825/83,626/796
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 825,626
Greatest Common Factor of Numerators i.e. GCF of 825,626 is 1 .
LCM of Denominators means LCM of 83,796 as per the given fractions.
LCM of 83,796 is 66068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 825,626
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 825
List of positive integer factors of 825 that divides 825 without a remainder.
1,3,5,11,15,25,33,55,75,165,275,825
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Greatest Common Factor
We found the factors 825,626 . The biggest common factor number is the GCF number.
So the greatest common factor 825,626 is 1.
Lets's calculate LCM of 83,796
Given numbers has no common factors except 1. So, there LCM is their product i.e 66068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66068
Therefore, the GCF of Fractions 825/83,626/796 is 1/66068
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 83,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,796) x common factors =1 x 1 = 1
LCM(83,796) = ( 83 × 796 ) / 1
LCM(83,796) = 66068 / 1
LCM(83,796) = 66068
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 825/83, 626/796?
Answer: GCF of Numerators as per given numbers 825/83, 626/796 is
GCF of Numerators i.e. for 825,626 is 1
LCM of denominators i.e. for 83,796 is 66068.
Thus, GCF of Fractions is 1/66068.Finally, GCF of Fractions for 825/83, 626/796 is 1/66068.