Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9453/856,2383/233
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 9453,2383
Greatest Common Factor of Numerators i.e. GCF of 9453,2383 is 1 .
LCM of Denominators means LCM of 856,233 as per the given fractions.
LCM of 856,233 is 199448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9453,2383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9453
List of positive integer factors of 9453 that divides 9453 without a remainder.
1,3,23,69,137,411,3151,9453
Factors of 2383
List of positive integer factors of 2383 that divides 2383 without a remainder.
1,2383
Greatest Common Factor
We found the factors 9453,2383 . The biggest common factor number is the GCF number.
So the greatest common factor 9453,2383 is 1.
Lets's calculate LCM of 856,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 199448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199448
Therefore, the GCF of Fractions 9453/856,2383/233 is 1/199448
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 856,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,233) x common factors =1 x 1 = 1
LCM(856,233) = ( 856 × 233 ) / 1
LCM(856,233) = 199448 / 1
LCM(856,233) = 199448
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 9453/856, 2383/233?
Answer: GCF of Numerators as per given numbers 9453/856, 2383/233 is
GCF of Numerators i.e. for 9453,2383 is 1
LCM of denominators i.e. for 856,233 is 199448.
Thus, GCF of Fractions is 1/199448.Finally, GCF of Fractions for 9453/856, 2383/233 is 1/199448.