Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7335/166,3224/441
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 7335,3224
Greatest Common Factor of Numerators i.e. GCF of 7335,3224 is 1 .
LCM of Denominators means LCM of 166,441 as per the given fractions.
LCM of 166,441 is 73206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7335,3224
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7335
List of positive integer factors of 7335 that divides 7335 without a remainder.
1,3,5,9,15,45,163,489,815,1467,2445,7335
Factors of 3224
List of positive integer factors of 3224 that divides 3224 without a remainder.
1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224
Greatest Common Factor
We found the factors 7335,3224 . The biggest common factor number is the GCF number.
So the greatest common factor 7335,3224 is 1.
Lets's calculate LCM of 166,441
Given numbers has no common factors except 1. So, there LCM is their product i.e 73206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73206
Therefore, the GCF of Fractions 7335/166,3224/441 is 1/73206
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 166,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(166,441) x common factors =1 x 1 = 1
LCM(166,441) = ( 166 × 441 ) / 1
LCM(166,441) = 73206 / 1
LCM(166,441) = 73206
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 7335/166, 3224/441?
Answer: GCF of Numerators as per given numbers 7335/166, 3224/441 is
GCF of Numerators i.e. for 7335,3224 is 1
LCM of denominators i.e. for 166,441 is 73206.
Thus, GCF of Fractions is 1/73206.Finally, GCF of Fractions for 7335/166, 3224/441 is 1/73206.