Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1/58,392/71,183/23
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 1,392,183
Greatest Common Factor of Numerators i.e. GCF of 1,392,183 is 1 .
LCM of Denominators means LCM of 58,71,23 as per the given fractions.
LCM of 58,71,23 is 94714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1,392,183
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1
List of positive integer factors of 1 that divides 1 without a remainder.
1
Factors of 392
List of positive integer factors of 392 that divides 392 without a remainder.
1,2,4,7,8,14,28,49,56,98,196,392
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Greatest Common Factor
We found the factors 1,392,183 . The biggest common factor number is the GCF number.
So the greatest common factor 1,392,183 is 1.
Lets's calculate LCM of 58,71,23
Given numbers has no common factors except 1. So, there LCM is their product i.e 94714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94714
Therefore, the GCF of Fractions 1/58,392/71,183/23 is 1/94714
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 58,71,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,71,23) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,71,23) x common factors =1 x 1 = 1
LCM(58,71,23) = ( 58 × 71 × 23 ) / 1
LCM(58,71,23) = 94714 / 1
LCM(58,71,23) = 94714
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 1/58, 392/71, 183/23?
Answer: GCF of Numerators as per given numbers 1/58, 392/71, 183/23 is
GCF of Numerators i.e. for 1,392,183 is 1
LCM of denominators i.e. for 58,71,23 is 94714.
Thus, GCF of Fractions is 1/94714.Finally, GCF of Fractions for 1/58, 392/71, 183/23 is 1/94714.