Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 199/61,311/51,282/65
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 199,311,282
Greatest Common Factor of Numerators i.e. GCF of 199,311,282 is 1 .
LCM of Denominators means LCM of 61,51,65 as per the given fractions.
LCM of 61,51,65 is 202215 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 199,311,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1,199
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 199,311,282 . The biggest common factor number is the GCF number.
So the greatest common factor 199,311,282 is 1.
Lets's calculate LCM of 61,51,65
Given numbers has no common factors except 1. So, there LCM is their product i.e 202215
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202215
Therefore, the GCF of Fractions 199/61,311/51,282/65 is 1/202215
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 61,51,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,51,65) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,51,65) x common factors =1 x 1 = 1
LCM(61,51,65) = ( 61 × 51 × 65 ) / 1
LCM(61,51,65) = 202215 / 1
LCM(61,51,65) = 202215
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 199/61, 311/51, 282/65?
Answer: GCF of Numerators as per given numbers 199/61, 311/51, 282/65 is
GCF of Numerators i.e. for 199,311,282 is 1
LCM of denominators i.e. for 61,51,65 is 202215.
Thus, GCF of Fractions is 1/202215.Finally, GCF of Fractions for 199/61, 311/51, 282/65 is 1/202215.