Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2405/45,6551/707
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 2405,6551
Greatest Common Factor of Numerators i.e. GCF of 2405,6551 is 1 .
LCM of Denominators means LCM of 45,707 as per the given fractions.
LCM of 45,707 is 31815 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2405,6551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2405
List of positive integer factors of 2405 that divides 2405 without a remainder.
1,5,13,37,65,185,481,2405
Factors of 6551
List of positive integer factors of 6551 that divides 6551 without a remainder.
1,6551
Greatest Common Factor
We found the factors 2405,6551 . The biggest common factor number is the GCF number.
So the greatest common factor 2405,6551 is 1.
Lets's calculate LCM of 45,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 31815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31815
Therefore, the GCF of Fractions 2405/45,6551/707 is 1/31815
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 45,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,707) x common factors =1 x 1 = 1
LCM(45,707) = ( 45 × 707 ) / 1
LCM(45,707) = 31815 / 1
LCM(45,707) = 31815
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 2405/45, 6551/707?
Answer: GCF of Numerators as per given numbers 2405/45, 6551/707 is
GCF of Numerators i.e. for 2405,6551 is 1
LCM of denominators i.e. for 45,707 is 31815.
Thus, GCF of Fractions is 1/31815.Finally, GCF of Fractions for 2405/45, 6551/707 is 1/31815.