Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/47,665/1037
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 202,665
Greatest Common Factor of Numerators i.e. GCF of 202,665 is 1 .
LCM of Denominators means LCM of 47,1037 as per the given fractions.
LCM of 47,1037 is 48739 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 202,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 202,665 . The biggest common factor number is the GCF number.
So the greatest common factor 202,665 is 1.
Lets's calculate LCM of 47,1037
Given numbers has no common factors except 1. So, there LCM is their product i.e 48739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48739
Therefore, the GCF of Fractions 202/47,665/1037 is 1/48739
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 47,1037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,1037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,1037) x common factors =1 x 1 = 1
LCM(47,1037) = ( 47 × 1037 ) / 1
LCM(47,1037) = 48739 / 1
LCM(47,1037) = 48739
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 202/47, 665/1037?
Answer: GCF of Numerators as per given numbers 202/47, 665/1037 is
GCF of Numerators i.e. for 202,665 is 1
LCM of denominators i.e. for 47,1037 is 48739.
Thus, GCF of Fractions is 1/48739.Finally, GCF of Fractions for 202/47, 665/1037 is 1/48739.