Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6536/332,7423/1563
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 6536,7423
Greatest Common Factor of Numerators i.e. GCF of 6536,7423 is 1 .
LCM of Denominators means LCM of 332,1563 as per the given fractions.
LCM of 332,1563 is 518916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6536,7423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6536
List of positive integer factors of 6536 that divides 6536 without a remainder.
1,2,4,8,19,38,43,76,86,152,172,344,817,1634,3268,6536
Factors of 7423
List of positive integer factors of 7423 that divides 7423 without a remainder.
1,13,571,7423
Greatest Common Factor
We found the factors 6536,7423 . The biggest common factor number is the GCF number.
So the greatest common factor 6536,7423 is 1.
Lets's calculate LCM of 332,1563
Given numbers has no common factors except 1. So, there LCM is their product i.e 518916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518916
Therefore, the GCF of Fractions 6536/332,7423/1563 is 1/518916
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 332,1563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,1563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,1563) x common factors =1 x 1 = 1
LCM(332,1563) = ( 332 × 1563 ) / 1
LCM(332,1563) = 518916 / 1
LCM(332,1563) = 518916
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 6536/332, 7423/1563?
Answer: GCF of Numerators as per given numbers 6536/332, 7423/1563 is
GCF of Numerators i.e. for 6536,7423 is 1
LCM of denominators i.e. for 332,1563 is 518916.
Thus, GCF of Fractions is 1/518916.Finally, GCF of Fractions for 6536/332, 7423/1563 is 1/518916.