Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/462,143/932,307/868
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 31,143,307
Greatest Common Factor of Numerators i.e. GCF of 31,143,307 is 1 .
LCM of Denominators means LCM of 462,932,868 as per the given fractions.
LCM of 462,932,868 is 6674052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 31,143,307
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Greatest Common Factor
We found the factors 31,143,307 . The biggest common factor number is the GCF number.
So the greatest common factor 31,143,307 is 1.
Lets's calculate LCM of 462,932,868
2 | 462, 932, 868 |
2 | 231, 466, 434 |
7 | 231, 233, 217 |
33, 233, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 233 x 31 = 6674052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6674052
Therefore, the GCF of Fractions 31/462,143/932,307/868 is 1/6674052
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 462,932,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,932,868) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(462,932,868) x common factors =2 x 28 = 56
LCM(462,932,868) = ( 462 × 932 × 868 ) / 56
LCM(462,932,868) = 373746912 / 56
LCM(462,932,868) = 6674052
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 31/462, 143/932, 307/868?
Answer: GCF of Numerators as per given numbers 31/462, 143/932, 307/868 is
GCF of Numerators i.e. for 31,143,307 is 1
LCM of denominators i.e. for 462,932,868 is 6674052.
Thus, GCF of Fractions is 1/6674052.Finally, GCF of Fractions for 31/462, 143/932, 307/868 is 1/6674052.