Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4003/569,7340/2297
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 4003,7340
Greatest Common Factor of Numerators i.e. GCF of 4003,7340 is 1 .
LCM of Denominators means LCM of 569,2297 as per the given fractions.
LCM of 569,2297 is 1306993 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4003,7340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4003
List of positive integer factors of 4003 that divides 4003 without a remainder.
1,4003
Factors of 7340
List of positive integer factors of 7340 that divides 7340 without a remainder.
1,2,4,5,10,20,367,734,1468,1835,3670,7340
Greatest Common Factor
We found the factors 4003,7340 . The biggest common factor number is the GCF number.
So the greatest common factor 4003,7340 is 1.
Lets's calculate LCM of 569,2297
Given numbers has no common factors except 1. So, there LCM is their product i.e 1306993
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1306993
Therefore, the GCF of Fractions 4003/569,7340/2297 is 1/1306993
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 569,2297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,2297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,2297) x common factors =1 x 1 = 1
LCM(569,2297) = ( 569 × 2297 ) / 1
LCM(569,2297) = 1306993 / 1
LCM(569,2297) = 1306993
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 4003/569, 7340/2297?
Answer: GCF of Numerators as per given numbers 4003/569, 7340/2297 is
GCF of Numerators i.e. for 4003,7340 is 1
LCM of denominators i.e. for 569,2297 is 1306993.
Thus, GCF of Fractions is 1/1306993.Finally, GCF of Fractions for 4003/569, 7340/2297 is 1/1306993.