Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 218/66,868/44,465/284
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 218,868,465
Greatest Common Factor of Numerators i.e. GCF of 218,868,465 is 1 .
LCM of Denominators means LCM of 66,44,284 as per the given fractions.
LCM of 66,44,284 is 9372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 218,868,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 218,868,465 . The biggest common factor number is the GCF number.
So the greatest common factor 218,868,465 is 1.
Lets's calculate LCM of 66,44,284
2 | 66, 44, 284 |
2 | 33, 22, 142 |
11 | 33, 11, 71 |
3, 1, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 x 1 x 71 = 9372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9372
Therefore, the GCF of Fractions 218/66,868/44,465/284 is 1/9372
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 66,44,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,44,284) = 2
common factors(in case of two or more numbers have common factors) = 44
GCF(66,44,284) x common factors =2 x 44 = 88
LCM(66,44,284) = ( 66 × 44 × 284 ) / 88
LCM(66,44,284) = 824736 / 88
LCM(66,44,284) = 9372
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 218/66, 868/44, 465/284?
Answer: GCF of Numerators as per given numbers 218/66, 868/44, 465/284 is
GCF of Numerators i.e. for 218,868,465 is 1
LCM of denominators i.e. for 66,44,284 is 9372.
Thus, GCF of Fractions is 1/9372.Finally, GCF of Fractions for 218/66, 868/44, 465/284 is 1/9372.