Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8394/971,3843/491
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 8394,3843
Greatest Common Factor of Numerators i.e. GCF of 8394,3843 is 3 .
LCM of Denominators means LCM of 971,491 as per the given fractions.
LCM of 971,491 is 476761 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8394,3843
3 | 8394, 3843 |
2798, 1281 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8394
List of positive integer factors of 8394 that divides 8394 without a remainder.
1,2,3,6,1399,2798,4197,8394
Factors of 3843
List of positive integer factors of 3843 that divides 3843 without a remainder.
1,3,7,9,21,61,63,183,427,549,1281,3843
Greatest Common Factor
We found the factors 8394,3843 . The biggest common factor number is the GCF number.
So the greatest common factor 8394,3843 is 3.
Lets's calculate LCM of 971,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 476761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/476761
Therefore, the GCF of Fractions 8394/971,3843/491 is 3/476761
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 971,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,491) x common factors =1 x 1 = 1
LCM(971,491) = ( 971 × 491 ) / 1
LCM(971,491) = 476761 / 1
LCM(971,491) = 476761
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 8394/971, 3843/491?
Answer: GCF of Numerators as per given numbers 8394/971, 3843/491 is
GCF of Numerators i.e. for 8394,3843 is 3
LCM of denominators i.e. for 971,491 is 476761.
Thus, GCF of Fractions is 3/476761.Finally, GCF of Fractions for 8394/971, 3843/491 is 3/476761.