Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1568/739,8886/9391
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 1568,8886
Greatest Common Factor of Numerators i.e. GCF of 1568,8886 is 2 .
LCM of Denominators means LCM of 739,9391 as per the given fractions.
LCM of 739,9391 is 6939949 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1568,8886
2 | 1568, 8886 |
784, 4443 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1568
List of positive integer factors of 1568 that divides 1568 without a remainder.
1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568
Factors of 8886
List of positive integer factors of 8886 that divides 8886 without a remainder.
1,2,3,6,1481,2962,4443,8886
Greatest Common Factor
We found the factors 1568,8886 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,8886 is 2.
Lets's calculate LCM of 739,9391
Given numbers has no common factors except 1. So, there LCM is their product i.e 6939949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6939949
Therefore, the GCF of Fractions 1568/739,8886/9391 is 2/6939949
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 739,9391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,9391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,9391) x common factors =1 x 1 = 1
LCM(739,9391) = ( 739 × 9391 ) / 1
LCM(739,9391) = 6939949 / 1
LCM(739,9391) = 6939949
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 1568/739, 8886/9391?
Answer: GCF of Numerators as per given numbers 1568/739, 8886/9391 is
GCF of Numerators i.e. for 1568,8886 is 2
LCM of denominators i.e. for 739,9391 is 6939949.
Thus, GCF of Fractions is 2/6939949.Finally, GCF of Fractions for 1568/739, 8886/9391 is 2/6939949.