Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 369/111,8856/466
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 369,8856
Greatest Common Factor of Numerators i.e. GCF of 369,8856 is 369 .
LCM of Denominators means LCM of 111,466 as per the given fractions.
LCM of 111,466 is 51726 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 369,8856
3 | 369, 8856 |
3 | 123, 2952 |
41 | 41, 984 |
1, 24 |
∴ So the GCF of the given numbers is 3 x 3 x 41 = 369
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 8856
List of positive integer factors of 8856 that divides 8856 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856
Greatest Common Factor
We found the factors 369,8856 . The biggest common factor number is the GCF number.
So the greatest common factor 369,8856 is 369.
Lets's calculate LCM of 111,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 51726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 369/51726
Therefore, the GCF of Fractions 369/111,8856/466 is 369/51726
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 111,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(111,466) x common factors =1 x 1 = 1
LCM(111,466) = ( 111 × 466 ) / 1
LCM(111,466) = 51726 / 1
LCM(111,466) = 51726
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 369/111, 8856/466?
Answer: GCF of Numerators as per given numbers 369/111, 8856/466 is
GCF of Numerators i.e. for 369,8856 is 369
LCM of denominators i.e. for 111,466 is 51726.
Thus, GCF of Fractions is 369/51726.Finally, GCF of Fractions for 369/111, 8856/466 is 369/51726.