Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 557/68,347/55,231/89
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 557,347,231
Greatest Common Factor of Numerators i.e. GCF of 557,347,231 is 1 .
LCM of Denominators means LCM of 68,55,89 as per the given fractions.
LCM of 68,55,89 is 332860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 557,347,231
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Greatest Common Factor
We found the factors 557,347,231 . The biggest common factor number is the GCF number.
So the greatest common factor 557,347,231 is 1.
Lets's calculate LCM of 68,55,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 332860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332860
Therefore, the GCF of Fractions 557/68,347/55,231/89 is 1/332860
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 68,55,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,55,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,55,89) x common factors =1 x 1 = 1
LCM(68,55,89) = ( 68 × 55 × 89 ) / 1
LCM(68,55,89) = 332860 / 1
LCM(68,55,89) = 332860
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 557/68, 347/55, 231/89?
Answer: GCF of Numerators as per given numbers 557/68, 347/55, 231/89 is
GCF of Numerators i.e. for 557,347,231 is 1
LCM of denominators i.e. for 68,55,89 is 332860.
Thus, GCF of Fractions is 1/332860.Finally, GCF of Fractions for 557/68, 347/55, 231/89 is 1/332860.