Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 403/641,152/353
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 403,152
Greatest Common Factor of Numerators i.e. GCF of 403,152 is 1 .
LCM of Denominators means LCM of 641,353 as per the given fractions.
LCM of 641,353 is 226273 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 403,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 403,152 . The biggest common factor number is the GCF number.
So the greatest common factor 403,152 is 1.
Lets's calculate LCM of 641,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 226273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/226273
Therefore, the GCF of Fractions 403/641,152/353 is 1/226273
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 641,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,353) x common factors =1 x 1 = 1
LCM(641,353) = ( 641 × 353 ) / 1
LCM(641,353) = 226273 / 1
LCM(641,353) = 226273
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 403/641, 152/353?
Answer: GCF of Numerators as per given numbers 403/641, 152/353 is
GCF of Numerators i.e. for 403,152 is 1
LCM of denominators i.e. for 641,353 is 226273.
Thus, GCF of Fractions is 1/226273.Finally, GCF of Fractions for 403/641, 152/353 is 1/226273.