Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 923/478,8411/668
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 923,8411
Greatest Common Factor of Numerators i.e. GCF of 923,8411 is 13 .
LCM of Denominators means LCM of 478,668 as per the given fractions.
LCM of 478,668 is 159652 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 923,8411
13 | 923, 8411 |
71, 647 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 8411
List of positive integer factors of 8411 that divides 8411 without a remainder.
1,13,647,8411
Greatest Common Factor
We found the factors 923,8411 . The biggest common factor number is the GCF number.
So the greatest common factor 923,8411 is 13.
Lets's calculate LCM of 478,668
2 | 478, 668 |
239, 334 |
∴ So the LCM of the given numbers is 2 x 239 x 334 = 159652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/159652
Therefore, the GCF of Fractions 923/478,8411/668 is 13/159652
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 478,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,668) x common factors =2 x 1 = 2
LCM(478,668) = ( 478 × 668 ) / 2
LCM(478,668) = 319304 / 2
LCM(478,668) = 159652
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 923/478, 8411/668?
Answer: GCF of Numerators as per given numbers 923/478, 8411/668 is
GCF of Numerators i.e. for 923,8411 is 13
LCM of denominators i.e. for 478,668 is 159652.
Thus, GCF of Fractions is 13/159652.Finally, GCF of Fractions for 923/478, 8411/668 is 13/159652.