Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5225/59,6728/682
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 5225,6728
Greatest Common Factor of Numerators i.e. GCF of 5225,6728 is 1 .
LCM of Denominators means LCM of 59,682 as per the given fractions.
LCM of 59,682 is 40238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5225,6728
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5225
List of positive integer factors of 5225 that divides 5225 without a remainder.
1,5,11,19,25,55,95,209,275,475,1045,5225
Factors of 6728
List of positive integer factors of 6728 that divides 6728 without a remainder.
1,2,4,8,29,58,116,232,841,1682,3364,6728
Greatest Common Factor
We found the factors 5225,6728 . The biggest common factor number is the GCF number.
So the greatest common factor 5225,6728 is 1.
Lets's calculate LCM of 59,682
Given numbers has no common factors except 1. So, there LCM is their product i.e 40238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40238
Therefore, the GCF of Fractions 5225/59,6728/682 is 1/40238
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 59,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,682) x common factors =1 x 1 = 1
LCM(59,682) = ( 59 × 682 ) / 1
LCM(59,682) = 40238 / 1
LCM(59,682) = 40238
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 5225/59, 6728/682?
Answer: GCF of Numerators as per given numbers 5225/59, 6728/682 is
GCF of Numerators i.e. for 5225,6728 is 1
LCM of denominators i.e. for 59,682 is 40238.
Thus, GCF of Fractions is 1/40238.Finally, GCF of Fractions for 5225/59, 6728/682 is 1/40238.