Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9619/592,8754/6461
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 9619,8754
Greatest Common Factor of Numerators i.e. GCF of 9619,8754 is 1 .
LCM of Denominators means LCM of 592,6461 as per the given fractions.
LCM of 592,6461 is 3824912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9619,8754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9619
List of positive integer factors of 9619 that divides 9619 without a remainder.
1,9619
Factors of 8754
List of positive integer factors of 8754 that divides 8754 without a remainder.
1,2,3,6,1459,2918,4377,8754
Greatest Common Factor
We found the factors 9619,8754 . The biggest common factor number is the GCF number.
So the greatest common factor 9619,8754 is 1.
Lets's calculate LCM of 592,6461
Given numbers has no common factors except 1. So, there LCM is their product i.e 3824912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3824912
Therefore, the GCF of Fractions 9619/592,8754/6461 is 1/3824912
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 592,6461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(592,6461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(592,6461) x common factors =1 x 1 = 1
LCM(592,6461) = ( 592 × 6461 ) / 1
LCM(592,6461) = 3824912 / 1
LCM(592,6461) = 3824912
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 9619/592, 8754/6461?
Answer: GCF of Numerators as per given numbers 9619/592, 8754/6461 is
GCF of Numerators i.e. for 9619,8754 is 1
LCM of denominators i.e. for 592,6461 is 3824912.
Thus, GCF of Fractions is 1/3824912.Finally, GCF of Fractions for 9619/592, 8754/6461 is 1/3824912.