Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1182/685,5620/2847
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 1182,5620
Greatest Common Factor of Numerators i.e. GCF of 1182,5620 is 2 .
LCM of Denominators means LCM of 685,2847 as per the given fractions.
LCM of 685,2847 is 1950195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1182,5620
2 | 1182, 5620 |
591, 2810 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 1182
List of positive integer factors of 1182 that divides 1182 without a remainder.
1,2,3,6,197,394,591,1182
Factors of 5620
List of positive integer factors of 5620 that divides 5620 without a remainder.
1,2,4,5,10,20,281,562,1124,1405,2810,5620
Greatest Common Factor
We found the factors 1182,5620 . The biggest common factor number is the GCF number.
So the greatest common factor 1182,5620 is 2.
Lets's calculate LCM of 685,2847
Given numbers has no common factors except 1. So, there LCM is their product i.e 1950195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1950195
Therefore, the GCF of Fractions 1182/685,5620/2847 is 2/1950195
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 685,2847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,2847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,2847) x common factors =1 x 1 = 1
LCM(685,2847) = ( 685 × 2847 ) / 1
LCM(685,2847) = 1950195 / 1
LCM(685,2847) = 1950195
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 1182/685, 5620/2847?
Answer: GCF of Numerators as per given numbers 1182/685, 5620/2847 is
GCF of Numerators i.e. for 1182,5620 is 2
LCM of denominators i.e. for 685,2847 is 1950195.
Thus, GCF of Fractions is 2/1950195.Finally, GCF of Fractions for 1182/685, 5620/2847 is 2/1950195.