Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9450/788,6206/6387
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 9450,6206
Greatest Common Factor of Numerators i.e. GCF of 9450,6206 is 2 .
LCM of Denominators means LCM of 788,6387 as per the given fractions.
LCM of 788,6387 is 5032956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9450,6206
2 | 9450, 6206 |
4725, 3103 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9450
List of positive integer factors of 9450 that divides 9450 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 9450,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 9450,6206 is 2.
Lets's calculate LCM of 788,6387
Given numbers has no common factors except 1. So, there LCM is their product i.e 5032956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5032956
Therefore, the GCF of Fractions 9450/788,6206/6387 is 2/5032956
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 788,6387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,6387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,6387) x common factors =1 x 1 = 1
LCM(788,6387) = ( 788 × 6387 ) / 1
LCM(788,6387) = 5032956 / 1
LCM(788,6387) = 5032956
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 9450/788, 6206/6387?
Answer: GCF of Numerators as per given numbers 9450/788, 6206/6387 is
GCF of Numerators i.e. for 9450,6206 is 2
LCM of denominators i.e. for 788,6387 is 5032956.
Thus, GCF of Fractions is 2/5032956.Finally, GCF of Fractions for 9450/788, 6206/6387 is 2/5032956.