Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3457/37,5665/605
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 3457,5665
Greatest Common Factor of Numerators i.e. GCF of 3457,5665 is 1 .
LCM of Denominators means LCM of 37,605 as per the given fractions.
LCM of 37,605 is 22385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3457,5665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3457
List of positive integer factors of 3457 that divides 3457 without a remainder.
1,3457
Factors of 5665
List of positive integer factors of 5665 that divides 5665 without a remainder.
1,5,11,55,103,515,1133,5665
Greatest Common Factor
We found the factors 3457,5665 . The biggest common factor number is the GCF number.
So the greatest common factor 3457,5665 is 1.
Lets's calculate LCM of 37,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 22385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22385
Therefore, the GCF of Fractions 3457/37,5665/605 is 1/22385
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 37,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,605) x common factors =1 x 1 = 1
LCM(37,605) = ( 37 × 605 ) / 1
LCM(37,605) = 22385 / 1
LCM(37,605) = 22385
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 3457/37, 5665/605?
Answer: GCF of Numerators as per given numbers 3457/37, 5665/605 is
GCF of Numerators i.e. for 3457,5665 is 1
LCM of denominators i.e. for 37,605 is 22385.
Thus, GCF of Fractions is 1/22385.Finally, GCF of Fractions for 3457/37, 5665/605 is 1/22385.