Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9340/183,9182/4662
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 9340,9182
Greatest Common Factor of Numerators i.e. GCF of 9340,9182 is 2 .
LCM of Denominators means LCM of 183,4662 as per the given fractions.
LCM of 183,4662 is 284382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9340,9182
2 | 9340, 9182 |
4670, 4591 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9340
List of positive integer factors of 9340 that divides 9340 without a remainder.
1,2,4,5,10,20,467,934,1868,2335,4670,9340
Factors of 9182
List of positive integer factors of 9182 that divides 9182 without a remainder.
1,2,4591,9182
Greatest Common Factor
We found the factors 9340,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 9340,9182 is 2.
Lets's calculate LCM of 183,4662
3 | 183, 4662 |
61, 1554 |
∴ So the LCM of the given numbers is 3 x 61 x 1554 = 284382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/284382
Therefore, the GCF of Fractions 9340/183,9182/4662 is 2/284382
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 183,4662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,4662) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(183,4662) x common factors =3 x 1 = 3
LCM(183,4662) = ( 183 × 4662 ) / 3
LCM(183,4662) = 853146 / 3
LCM(183,4662) = 284382
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 9340/183, 9182/4662?
Answer: GCF of Numerators as per given numbers 9340/183, 9182/4662 is
GCF of Numerators i.e. for 9340,9182 is 2
LCM of denominators i.e. for 183,4662 is 284382.
Thus, GCF of Fractions is 2/284382.Finally, GCF of Fractions for 9340/183, 9182/4662 is 2/284382.