Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/47,45/39,47/332,123/367
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 8,45,47,123
Greatest Common Factor of Numerators i.e. GCF of 8,45,47,123 is 1 .
LCM of Denominators means LCM of 47,39,332,367 as per the given fractions.
LCM of 47,39,332,367 is 223340052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,45,47,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 8,45,47,123 . The biggest common factor number is the GCF number.
So the greatest common factor 8,45,47,123 is 1.
Lets's calculate LCM of 47,39,332,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 223340052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223340052
Therefore, the GCF of Fractions 8/47,45/39,47/332,123/367 is 1/223340052
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 47,39,332,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,39,332,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,39,332,367) x common factors =1 x 1 = 1
LCM(47,39,332,367) = ( 47 × 39 × 332 × 367 ) / 1
LCM(47,39,332,367) = 223340052 / 1
LCM(47,39,332,367) = 223340052
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 8/47, 45/39, 47/332, 123/367?
Answer: GCF of Numerators as per given numbers 8/47, 45/39, 47/332, 123/367 is
GCF of Numerators i.e. for 8,45,47,123 is 1
LCM of denominators i.e. for 47,39,332,367 is 223340052.
Thus, GCF of Fractions is 1/223340052.Finally, GCF of Fractions for 8/47, 45/39, 47/332, 123/367 is 1/223340052.