Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 542/368,3023/8561
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 542,3023
Greatest Common Factor of Numerators i.e. GCF of 542,3023 is 1 .
LCM of Denominators means LCM of 368,8561 as per the given fractions.
LCM of 368,8561 is 3150448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 542,3023
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 3023
List of positive integer factors of 3023 that divides 3023 without a remainder.
1,3023
Greatest Common Factor
We found the factors 542,3023 . The biggest common factor number is the GCF number.
So the greatest common factor 542,3023 is 1.
Lets's calculate LCM of 368,8561
Given numbers has no common factors except 1. So, there LCM is their product i.e 3150448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3150448
Therefore, the GCF of Fractions 542/368,3023/8561 is 1/3150448
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 368,8561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,8561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,8561) x common factors =1 x 1 = 1
LCM(368,8561) = ( 368 × 8561 ) / 1
LCM(368,8561) = 3150448 / 1
LCM(368,8561) = 3150448
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 542/368, 3023/8561?
Answer: GCF of Numerators as per given numbers 542/368, 3023/8561 is
GCF of Numerators i.e. for 542,3023 is 1
LCM of denominators i.e. for 368,8561 is 3150448.
Thus, GCF of Fractions is 1/3150448.Finally, GCF of Fractions for 542/368, 3023/8561 is 1/3150448.