Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/347,110/674,957/959
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 233,110,957
Greatest Common Factor of Numerators i.e. GCF of 233,110,957 is 1 .
LCM of Denominators means LCM of 347,674,959 as per the given fractions.
LCM of 347,674,959 is 224289002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 233,110,957
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 233,110,957 . The biggest common factor number is the GCF number.
So the greatest common factor 233,110,957 is 1.
Lets's calculate LCM of 347,674,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 224289002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224289002
Therefore, the GCF of Fractions 233/347,110/674,957/959 is 1/224289002
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 347,674,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,674,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,674,959) x common factors =1 x 1 = 1
LCM(347,674,959) = ( 347 × 674 × 959 ) / 1
LCM(347,674,959) = 224289002 / 1
LCM(347,674,959) = 224289002
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 233/347, 110/674, 957/959?
Answer: GCF of Numerators as per given numbers 233/347, 110/674, 957/959 is
GCF of Numerators i.e. for 233,110,957 is 1
LCM of denominators i.e. for 347,674,959 is 224289002.
Thus, GCF of Fractions is 1/224289002.Finally, GCF of Fractions for 233/347, 110/674, 957/959 is 1/224289002.