Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5463/816,4119/559
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 5463,4119
Greatest Common Factor of Numerators i.e. GCF of 5463,4119 is 3 .
LCM of Denominators means LCM of 816,559 as per the given fractions.
LCM of 816,559 is 456144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5463,4119
3 | 5463, 4119 |
1821, 1373 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5463
List of positive integer factors of 5463 that divides 5463 without a remainder.
1,3,9,607,1821,5463
Factors of 4119
List of positive integer factors of 4119 that divides 4119 without a remainder.
1,3,1373,4119
Greatest Common Factor
We found the factors 5463,4119 . The biggest common factor number is the GCF number.
So the greatest common factor 5463,4119 is 3.
Lets's calculate LCM of 816,559
Given numbers has no common factors except 1. So, there LCM is their product i.e 456144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/456144
Therefore, the GCF of Fractions 5463/816,4119/559 is 3/456144
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 816,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,559) x common factors =1 x 1 = 1
LCM(816,559) = ( 816 × 559 ) / 1
LCM(816,559) = 456144 / 1
LCM(816,559) = 456144
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 5463/816, 4119/559?
Answer: GCF of Numerators as per given numbers 5463/816, 4119/559 is
GCF of Numerators i.e. for 5463,4119 is 3
LCM of denominators i.e. for 816,559 is 456144.
Thus, GCF of Fractions is 3/456144.Finally, GCF of Fractions for 5463/816, 4119/559 is 3/456144.