Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 176/79,313/13,201/929
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 176,313,201
Greatest Common Factor of Numerators i.e. GCF of 176,313,201 is 1 .
LCM of Denominators means LCM of 79,13,929 as per the given fractions.
LCM of 79,13,929 is 954083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 176,313,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 176,313,201 . The biggest common factor number is the GCF number.
So the greatest common factor 176,313,201 is 1.
Lets's calculate LCM of 79,13,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 954083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954083
Therefore, the GCF of Fractions 176/79,313/13,201/929 is 1/954083
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 79,13,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,13,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,13,929) x common factors =1 x 1 = 1
LCM(79,13,929) = ( 79 × 13 × 929 ) / 1
LCM(79,13,929) = 954083 / 1
LCM(79,13,929) = 954083
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 176/79, 313/13, 201/929?
Answer: GCF of Numerators as per given numbers 176/79, 313/13, 201/929 is
GCF of Numerators i.e. for 176,313,201 is 1
LCM of denominators i.e. for 79,13,929 is 954083.
Thus, GCF of Fractions is 1/954083.Finally, GCF of Fractions for 176/79, 313/13, 201/929 is 1/954083.