Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/417,179/353
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 435,179
Greatest Common Factor of Numerators i.e. GCF of 435,179 is 1 .
LCM of Denominators means LCM of 417,353 as per the given fractions.
LCM of 417,353 is 147201 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,179
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Greatest Common Factor
We found the factors 435,179 . The biggest common factor number is the GCF number.
So the greatest common factor 435,179 is 1.
Lets's calculate LCM of 417,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 147201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147201
Therefore, the GCF of Fractions 435/417,179/353 is 1/147201
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 417,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,353) x common factors =1 x 1 = 1
LCM(417,353) = ( 417 × 353 ) / 1
LCM(417,353) = 147201 / 1
LCM(417,353) = 147201
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 435/417, 179/353?
Answer: GCF of Numerators as per given numbers 435/417, 179/353 is
GCF of Numerators i.e. for 435,179 is 1
LCM of denominators i.e. for 417,353 is 147201.
Thus, GCF of Fractions is 1/147201.Finally, GCF of Fractions for 435/417, 179/353 is 1/147201.