Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/9818,609/5025
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 457,609
Greatest Common Factor of Numerators i.e. GCF of 457,609 is 1 .
LCM of Denominators means LCM of 9818,5025 as per the given fractions.
LCM of 9818,5025 is 49335450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 457,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 457
List of positive integer factors of 457 that divides 457 without a remainder.
1,457
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 457,609 . The biggest common factor number is the GCF number.
So the greatest common factor 457,609 is 1.
Lets's calculate LCM of 9818,5025
Given numbers has no common factors except 1. So, there LCM is their product i.e 49335450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49335450
Therefore, the GCF of Fractions 457/9818,609/5025 is 1/49335450
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 9818,5025 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9818,5025) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9818,5025) x common factors =1 x 1 = 1
LCM(9818,5025) = ( 9818 × 5025 ) / 1
LCM(9818,5025) = 49335450 / 1
LCM(9818,5025) = 49335450
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 457/9818, 609/5025?
Answer: GCF of Numerators as per given numbers 457/9818, 609/5025 is
GCF of Numerators i.e. for 457,609 is 1
LCM of denominators i.e. for 9818,5025 is 49335450.
Thus, GCF of Fractions is 1/49335450.Finally, GCF of Fractions for 457/9818, 609/5025 is 1/49335450.