Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9124/10,3353/184
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 9124,3353
Greatest Common Factor of Numerators i.e. GCF of 9124,3353 is 1 .
LCM of Denominators means LCM of 10,184 as per the given fractions.
LCM of 10,184 is 920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9124,3353
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9124
List of positive integer factors of 9124 that divides 9124 without a remainder.
1,2,4,2281,4562,9124
Factors of 3353
List of positive integer factors of 3353 that divides 3353 without a remainder.
1,7,479,3353
Greatest Common Factor
We found the factors 9124,3353 . The biggest common factor number is the GCF number.
So the greatest common factor 9124,3353 is 1.
Lets's calculate LCM of 10,184
2 | 10, 184 |
5, 92 |
∴ So the LCM of the given numbers is 2 x 5 x 92 = 920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/920
Therefore, the GCF of Fractions 9124/10,3353/184 is 1/920
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 10,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,184) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,184) x common factors =2 x 1 = 2
LCM(10,184) = ( 10 × 184 ) / 2
LCM(10,184) = 1840 / 2
LCM(10,184) = 920
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 9124/10, 3353/184?
Answer: GCF of Numerators as per given numbers 9124/10, 3353/184 is
GCF of Numerators i.e. for 9124,3353 is 1
LCM of denominators i.e. for 10,184 is 920.
Thus, GCF of Fractions is 1/920.Finally, GCF of Fractions for 9124/10, 3353/184 is 1/920.