Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3353/454,9167/7333
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 3353,9167
Greatest Common Factor of Numerators i.e. GCF of 3353,9167 is 1 .
LCM of Denominators means LCM of 454,7333 as per the given fractions.
LCM of 454,7333 is 3329182 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3353,9167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3353
List of positive integer factors of 3353 that divides 3353 without a remainder.
1,7,479,3353
Factors of 9167
List of positive integer factors of 9167 that divides 9167 without a remainder.
1,89,103,9167
Greatest Common Factor
We found the factors 3353,9167 . The biggest common factor number is the GCF number.
So the greatest common factor 3353,9167 is 1.
Lets's calculate LCM of 454,7333
Given numbers has no common factors except 1. So, there LCM is their product i.e 3329182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3329182
Therefore, the GCF of Fractions 3353/454,9167/7333 is 1/3329182
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 454,7333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,7333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,7333) x common factors =1 x 1 = 1
LCM(454,7333) = ( 454 × 7333 ) / 1
LCM(454,7333) = 3329182 / 1
LCM(454,7333) = 3329182
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 3353/454, 9167/7333?
Answer: GCF of Numerators as per given numbers 3353/454, 9167/7333 is
GCF of Numerators i.e. for 3353,9167 is 1
LCM of denominators i.e. for 454,7333 is 3329182.
Thus, GCF of Fractions is 1/3329182.Finally, GCF of Fractions for 3353/454, 9167/7333 is 1/3329182.