Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1201/730,1037/452
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 1201,1037
Greatest Common Factor of Numerators i.e. GCF of 1201,1037 is 1 .
LCM of Denominators means LCM of 730,452 as per the given fractions.
LCM of 730,452 is 164980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1201,1037
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1,1201
Factors of 1037
List of positive integer factors of 1037 that divides 1037 without a remainder.
1,17,61,1037
Greatest Common Factor
We found the factors 1201,1037 . The biggest common factor number is the GCF number.
So the greatest common factor 1201,1037 is 1.
Lets's calculate LCM of 730,452
2 | 730, 452 |
365, 226 |
∴ So the LCM of the given numbers is 2 x 365 x 226 = 164980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164980
Therefore, the GCF of Fractions 1201/730,1037/452 is 1/164980
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 730,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,452) x common factors =2 x 1 = 2
LCM(730,452) = ( 730 × 452 ) / 2
LCM(730,452) = 329960 / 2
LCM(730,452) = 164980
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 1201/730, 1037/452?
Answer: GCF of Numerators as per given numbers 1201/730, 1037/452 is
GCF of Numerators i.e. for 1201,1037 is 1
LCM of denominators i.e. for 730,452 is 164980.
Thus, GCF of Fractions is 1/164980.Finally, GCF of Fractions for 1201/730, 1037/452 is 1/164980.