Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/211,824/333,227/208
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 55,824,227
Greatest Common Factor of Numerators i.e. GCF of 55,824,227 is 1 .
LCM of Denominators means LCM of 211,333,208 as per the given fractions.
LCM of 211,333,208 is 14614704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,824,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 55,824,227 . The biggest common factor number is the GCF number.
So the greatest common factor 55,824,227 is 1.
Lets's calculate LCM of 211,333,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 14614704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14614704
Therefore, the GCF of Fractions 55/211,824/333,227/208 is 1/14614704
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 211,333,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,333,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,333,208) x common factors =1 x 1 = 1
LCM(211,333,208) = ( 211 × 333 × 208 ) / 1
LCM(211,333,208) = 14614704 / 1
LCM(211,333,208) = 14614704
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 55/211, 824/333, 227/208?
Answer: GCF of Numerators as per given numbers 55/211, 824/333, 227/208 is
GCF of Numerators i.e. for 55,824,227 is 1
LCM of denominators i.e. for 211,333,208 is 14614704.
Thus, GCF of Fractions is 1/14614704.Finally, GCF of Fractions for 55/211, 824/333, 227/208 is 1/14614704.