Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3538/598,2345/2029
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 3538,2345
Greatest Common Factor of Numerators i.e. GCF of 3538,2345 is 1 .
LCM of Denominators means LCM of 598,2029 as per the given fractions.
LCM of 598,2029 is 1213342 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3538,2345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3538
List of positive integer factors of 3538 that divides 3538 without a remainder.
1,2,29,58,61,122,1769,3538
Factors of 2345
List of positive integer factors of 2345 that divides 2345 without a remainder.
1,5,7,35,67,335,469,2345
Greatest Common Factor
We found the factors 3538,2345 . The biggest common factor number is the GCF number.
So the greatest common factor 3538,2345 is 1.
Lets's calculate LCM of 598,2029
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1213342
Therefore, the GCF of Fractions 3538/598,2345/2029 is 1/1213342
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 598,2029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,2029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,2029) x common factors =1 x 1 = 1
LCM(598,2029) = ( 598 × 2029 ) / 1
LCM(598,2029) = 1213342 / 1
LCM(598,2029) = 1213342
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 3538/598, 2345/2029?
Answer: GCF of Numerators as per given numbers 3538/598, 2345/2029 is
GCF of Numerators i.e. for 3538,2345 is 1
LCM of denominators i.e. for 598,2029 is 1213342.
Thus, GCF of Fractions is 1/1213342.Finally, GCF of Fractions for 3538/598, 2345/2029 is 1/1213342.