Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 214/67,237/82,891/390
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 214,237,891
Greatest Common Factor of Numerators i.e. GCF of 214,237,891 is 1 .
LCM of Denominators means LCM of 67,82,390 as per the given fractions.
LCM of 67,82,390 is 1071330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 214,237,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1,2,107,214
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 214,237,891 . The biggest common factor number is the GCF number.
So the greatest common factor 214,237,891 is 1.
Lets's calculate LCM of 67,82,390
2 | 67, 82, 390 |
67, 41, 195 |
∴ So the LCM of the given numbers is 2 x 67 x 41 x 195 = 1071330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1071330
Therefore, the GCF of Fractions 214/67,237/82,891/390 is 1/1071330
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 67,82,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,82,390) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,82,390) x common factors =1 x 2 = 2
LCM(67,82,390) = ( 67 × 82 × 390 ) / 2
LCM(67,82,390) = 2142660 / 2
LCM(67,82,390) = 1071330
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 214/67, 237/82, 891/390?
Answer: GCF of Numerators as per given numbers 214/67, 237/82, 891/390 is
GCF of Numerators i.e. for 214,237,891 is 1
LCM of denominators i.e. for 67,82,390 is 1071330.
Thus, GCF of Fractions is 1/1071330.Finally, GCF of Fractions for 214/67, 237/82, 891/390 is 1/1071330.