Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 323/6059,356/5554
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 323,356
Greatest Common Factor of Numerators i.e. GCF of 323,356 is 1 .
LCM of Denominators means LCM of 6059,5554 as per the given fractions.
LCM of 6059,5554 is 33651686 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 323,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 323,356 . The biggest common factor number is the GCF number.
So the greatest common factor 323,356 is 1.
Lets's calculate LCM of 6059,5554
Given numbers has no common factors except 1. So, there LCM is their product i.e 33651686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33651686
Therefore, the GCF of Fractions 323/6059,356/5554 is 1/33651686
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 6059,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6059,5554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6059,5554) x common factors =1 x 1 = 1
LCM(6059,5554) = ( 6059 × 5554 ) / 1
LCM(6059,5554) = 33651686 / 1
LCM(6059,5554) = 33651686
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 323/6059, 356/5554?
Answer: GCF of Numerators as per given numbers 323/6059, 356/5554 is
GCF of Numerators i.e. for 323,356 is 1
LCM of denominators i.e. for 6059,5554 is 33651686.
Thus, GCF of Fractions is 1/33651686.Finally, GCF of Fractions for 323/6059, 356/5554 is 1/33651686.