Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8005/186,1082/270
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 8005,1082
Greatest Common Factor of Numerators i.e. GCF of 8005,1082 is 1 .
LCM of Denominators means LCM of 186,270 as per the given fractions.
LCM of 186,270 is 8370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8005,1082
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8005
List of positive integer factors of 8005 that divides 8005 without a remainder.
1,5,1601,8005
Factors of 1082
List of positive integer factors of 1082 that divides 1082 without a remainder.
1,2,541,1082
Greatest Common Factor
We found the factors 8005,1082 . The biggest common factor number is the GCF number.
So the greatest common factor 8005,1082 is 1.
Lets's calculate LCM of 186,270
2 | 186, 270 |
3 | 93, 135 |
31, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 45 = 8370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8370
Therefore, the GCF of Fractions 8005/186,1082/270 is 1/8370
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 186,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,270) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(186,270) x common factors =6 x 1 = 6
LCM(186,270) = ( 186 × 270 ) / 6
LCM(186,270) = 50220 / 6
LCM(186,270) = 8370
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 8005/186, 1082/270?
Answer: GCF of Numerators as per given numbers 8005/186, 1082/270 is
GCF of Numerators i.e. for 8005,1082 is 1
LCM of denominators i.e. for 186,270 is 8370.
Thus, GCF of Fractions is 1/8370.Finally, GCF of Fractions for 8005/186, 1082/270 is 1/8370.