Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/11,214/99,276/189
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 791,214,276
Greatest Common Factor of Numerators i.e. GCF of 791,214,276 is 1 .
LCM of Denominators means LCM of 11,99,189 as per the given fractions.
LCM of 11,99,189 is 2079 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 791,214,276
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 791,214,276 . The biggest common factor number is the GCF number.
So the greatest common factor 791,214,276 is 1.
Lets's calculate LCM of 11,99,189
3 | 11, 99, 189 |
3 | 11, 33, 63 |
11 | 11, 11, 21 |
1, 1, 21 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 21 = 2079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2079
Therefore, the GCF of Fractions 791/11,214/99,276/189 is 1/2079
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 11,99,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,99,189) = 1
common factors(in case of two or more numbers have common factors) = 99
GCF(11,99,189) x common factors =1 x 99 = 99
LCM(11,99,189) = ( 11 × 99 × 189 ) / 99
LCM(11,99,189) = 205821 / 99
LCM(11,99,189) = 2079
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 791/11, 214/99, 276/189?
Answer: GCF of Numerators as per given numbers 791/11, 214/99, 276/189 is
GCF of Numerators i.e. for 791,214,276 is 1
LCM of denominators i.e. for 11,99,189 is 2079.
Thus, GCF of Fractions is 1/2079.Finally, GCF of Fractions for 791/11, 214/99, 276/189 is 1/2079.