Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 179/33,698/64,362/205
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 179,698,362
Greatest Common Factor of Numerators i.e. GCF of 179,698,362 is 1 .
LCM of Denominators means LCM of 33,64,205 as per the given fractions.
LCM of 33,64,205 is 432960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 179,698,362
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 179,698,362 . The biggest common factor number is the GCF number.
So the greatest common factor 179,698,362 is 1.
Lets's calculate LCM of 33,64,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 432960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432960
Therefore, the GCF of Fractions 179/33,698/64,362/205 is 1/432960
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 33,64,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,64,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,64,205) x common factors =1 x 1 = 1
LCM(33,64,205) = ( 33 × 64 × 205 ) / 1
LCM(33,64,205) = 432960 / 1
LCM(33,64,205) = 432960
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 179/33, 698/64, 362/205?
Answer: GCF of Numerators as per given numbers 179/33, 698/64, 362/205 is
GCF of Numerators i.e. for 179,698,362 is 1
LCM of denominators i.e. for 33,64,205 is 432960.
Thus, GCF of Fractions is 1/432960.Finally, GCF of Fractions for 179/33, 698/64, 362/205 is 1/432960.