Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 22/71,868/27,211/166
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 22,868,211
Greatest Common Factor of Numerators i.e. GCF of 22,868,211 is 1 .
LCM of Denominators means LCM of 71,27,166 as per the given fractions.
LCM of 71,27,166 is 318222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 22,868,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
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 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 22,868,211 . The biggest common factor number is the GCF number.
So the greatest common factor 22,868,211 is 1.
Lets's calculate LCM of 71,27,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 318222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318222
Therefore, the GCF of Fractions 22/71,868/27,211/166 is 1/318222
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 71,27,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,27,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,27,166) x common factors =1 x 1 = 1
LCM(71,27,166) = ( 71 × 27 × 166 ) / 1
LCM(71,27,166) = 318222 / 1
LCM(71,27,166) = 318222
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 22/71, 868/27, 211/166?
Answer: GCF of Numerators as per given numbers 22/71, 868/27, 211/166 is
GCF of Numerators i.e. for 22,868,211 is 1
LCM of denominators i.e. for 71,27,166 is 318222.
Thus, GCF of Fractions is 1/318222.Finally, GCF of Fractions for 22/71, 868/27, 211/166 is 1/318222.