Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 222/97,394/26,455/21
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 222,394,455
Greatest Common Factor of Numerators i.e. GCF of 222,394,455 is 1 .
LCM of Denominators means LCM of 97,26,21 as per the given fractions.
LCM of 97,26,21 is 52962 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 222,394,455
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 222,394,455 . The biggest common factor number is the GCF number.
So the greatest common factor 222,394,455 is 1.
Lets's calculate LCM of 97,26,21
Given numbers has no common factors except 1. So, there LCM is their product i.e 52962
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52962
Therefore, the GCF of Fractions 222/97,394/26,455/21 is 1/52962
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 97,26,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,26,21) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,26,21) x common factors =1 x 1 = 1
LCM(97,26,21) = ( 97 × 26 × 21 ) / 1
LCM(97,26,21) = 52962 / 1
LCM(97,26,21) = 52962
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 222/97, 394/26, 455/21?
Answer: GCF of Numerators as per given numbers 222/97, 394/26, 455/21 is
GCF of Numerators i.e. for 222,394,455 is 1
LCM of denominators i.e. for 97,26,21 is 52962.
Thus, GCF of Fractions is 1/52962.Finally, GCF of Fractions for 222/97, 394/26, 455/21 is 1/52962.