Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1636/740,8189/3803
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 1636,8189
Greatest Common Factor of Numerators i.e. GCF of 1636,8189 is 1 .
LCM of Denominators means LCM of 740,3803 as per the given fractions.
LCM of 740,3803 is 2814220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1636,8189
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1636
List of positive integer factors of 1636 that divides 1636 without a remainder.
1,2,4,409,818,1636
Factors of 8189
List of positive integer factors of 8189 that divides 8189 without a remainder.
1,19,431,8189
Greatest Common Factor
We found the factors 1636,8189 . The biggest common factor number is the GCF number.
So the greatest common factor 1636,8189 is 1.
Lets's calculate LCM of 740,3803
Given numbers has no common factors except 1. So, there LCM is their product i.e 2814220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2814220
Therefore, the GCF of Fractions 1636/740,8189/3803 is 1/2814220
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 740,3803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,3803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,3803) x common factors =1 x 1 = 1
LCM(740,3803) = ( 740 × 3803 ) / 1
LCM(740,3803) = 2814220 / 1
LCM(740,3803) = 2814220
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 1636/740, 8189/3803?
Answer: GCF of Numerators as per given numbers 1636/740, 8189/3803 is
GCF of Numerators i.e. for 1636,8189 is 1
LCM of denominators i.e. for 740,3803 is 2814220.
Thus, GCF of Fractions is 1/2814220.Finally, GCF of Fractions for 1636/740, 8189/3803 is 1/2814220.