Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 321/433,926/640
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 321,926
Greatest Common Factor of Numerators i.e. GCF of 321,926 is 1 .
LCM of Denominators means LCM of 433,640 as per the given fractions.
LCM of 433,640 is 277120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 321,926
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 321,926 . The biggest common factor number is the GCF number.
So the greatest common factor 321,926 is 1.
Lets's calculate LCM of 433,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 277120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277120
Therefore, the GCF of Fractions 321/433,926/640 is 1/277120
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 433,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,640) x common factors =1 x 1 = 1
LCM(433,640) = ( 433 × 640 ) / 1
LCM(433,640) = 277120 / 1
LCM(433,640) = 277120
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 321/433, 926/640?
Answer: GCF of Numerators as per given numbers 321/433, 926/640 is
GCF of Numerators i.e. for 321,926 is 1
LCM of denominators i.e. for 433,640 is 277120.
Thus, GCF of Fractions is 1/277120.Finally, GCF of Fractions for 321/433, 926/640 is 1/277120.