Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 711/221,831/951,368/803
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 711,831,368
Greatest Common Factor of Numerators i.e. GCF of 711,831,368 is 1 .
LCM of Denominators means LCM of 221,951,803 as per the given fractions.
LCM of 221,951,803 is 168767313 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 711,831,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 711,831,368 . The biggest common factor number is the GCF number.
So the greatest common factor 711,831,368 is 1.
Lets's calculate LCM of 221,951,803
Given numbers has no common factors except 1. So, there LCM is their product i.e 168767313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168767313
Therefore, the GCF of Fractions 711/221,831/951,368/803 is 1/168767313
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 221,951,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,951,803) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,951,803) x common factors =1 x 1 = 1
LCM(221,951,803) = ( 221 × 951 × 803 ) / 1
LCM(221,951,803) = 168767313 / 1
LCM(221,951,803) = 168767313
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 711/221, 831/951, 368/803?
Answer: GCF of Numerators as per given numbers 711/221, 831/951, 368/803 is
GCF of Numerators i.e. for 711,831,368 is 1
LCM of denominators i.e. for 221,951,803 is 168767313.
Thus, GCF of Fractions is 1/168767313.Finally, GCF of Fractions for 711/221, 831/951, 368/803 is 1/168767313.