Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/417,667/433
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 92,667
Greatest Common Factor of Numerators i.e. GCF of 92,667 is 23 .
LCM of Denominators means LCM of 417,433 as per the given fractions.
LCM of 417,433 is 180561 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,667
23 | 92, 667 |
4, 29 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Greatest Common Factor
We found the factors 92,667 . The biggest common factor number is the GCF number.
So the greatest common factor 92,667 is 23.
Lets's calculate LCM of 417,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 180561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/180561
Therefore, the GCF of Fractions 92/417,667/433 is 23/180561
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 417,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,433) x common factors =1 x 1 = 1
LCM(417,433) = ( 417 × 433 ) / 1
LCM(417,433) = 180561 / 1
LCM(417,433) = 180561
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 92/417, 667/433?
Answer: GCF of Numerators as per given numbers 92/417, 667/433 is
GCF of Numerators i.e. for 92,667 is 23
LCM of denominators i.e. for 417,433 is 180561.
Thus, GCF of Fractions is 23/180561.Finally, GCF of Fractions for 92/417, 667/433 is 23/180561.