Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5885/325,4359/158
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 5885,4359
Greatest Common Factor of Numerators i.e. GCF of 5885,4359 is 1 .
LCM of Denominators means LCM of 325,158 as per the given fractions.
LCM of 325,158 is 51350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5885,4359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5885
List of positive integer factors of 5885 that divides 5885 without a remainder.
1,5,11,55,107,535,1177,5885
Factors of 4359
List of positive integer factors of 4359 that divides 4359 without a remainder.
1,3,1453,4359
Greatest Common Factor
We found the factors 5885,4359 . The biggest common factor number is the GCF number.
So the greatest common factor 5885,4359 is 1.
Lets's calculate LCM of 325,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 51350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51350
Therefore, the GCF of Fractions 5885/325,4359/158 is 1/51350
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 325,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,158) x common factors =1 x 1 = 1
LCM(325,158) = ( 325 × 158 ) / 1
LCM(325,158) = 51350 / 1
LCM(325,158) = 51350
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 5885/325, 4359/158?
Answer: GCF of Numerators as per given numbers 5885/325, 4359/158 is
GCF of Numerators i.e. for 5885,4359 is 1
LCM of denominators i.e. for 325,158 is 51350.
Thus, GCF of Fractions is 1/51350.Finally, GCF of Fractions for 5885/325, 4359/158 is 1/51350.