Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 820/2641,123/5348
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 820,123
Greatest Common Factor of Numerators i.e. GCF of 820,123 is 41 .
LCM of Denominators means LCM of 2641,5348 as per the given fractions.
LCM of 2641,5348 is 14124068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 820,123
41 | 820, 123 |
20, 3 |
∴ So the GCF of the given numbers is 41 = 41
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 820,123 . The biggest common factor number is the GCF number.
So the greatest common factor 820,123 is 41.
Lets's calculate LCM of 2641,5348
Given numbers has no common factors except 1. So, there LCM is their product i.e 14124068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/14124068
Therefore, the GCF of Fractions 820/2641,123/5348 is 41/14124068
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 2641,5348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2641,5348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2641,5348) x common factors =1 x 1 = 1
LCM(2641,5348) = ( 2641 × 5348 ) / 1
LCM(2641,5348) = 14124068 / 1
LCM(2641,5348) = 14124068
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 820/2641, 123/5348?
Answer: GCF of Numerators as per given numbers 820/2641, 123/5348 is
GCF of Numerators i.e. for 820,123 is 41
LCM of denominators i.e. for 2641,5348 is 14124068.
Thus, GCF of Fractions is 41/14124068.Finally, GCF of Fractions for 820/2641, 123/5348 is 41/14124068.