Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/894,875/316
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 23,875
Greatest Common Factor of Numerators i.e. GCF of 23,875 is 1 .
LCM of Denominators means LCM of 894,316 as per the given fractions.
LCM of 894,316 is 141252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 23,875 . The biggest common factor number is the GCF number.
So the greatest common factor 23,875 is 1.
Lets's calculate LCM of 894,316
2 | 894, 316 |
447, 158 |
∴ So the LCM of the given numbers is 2 x 447 x 158 = 141252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141252
Therefore, the GCF of Fractions 23/894,875/316 is 1/141252
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 894,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,316) x common factors =2 x 1 = 2
LCM(894,316) = ( 894 × 316 ) / 2
LCM(894,316) = 282504 / 2
LCM(894,316) = 141252
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 23/894, 875/316?
Answer: GCF of Numerators as per given numbers 23/894, 875/316 is
GCF of Numerators i.e. for 23,875 is 1
LCM of denominators i.e. for 894,316 is 141252.
Thus, GCF of Fractions is 1/141252.Finally, GCF of Fractions for 23/894, 875/316 is 1/141252.