Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 326/847,189/129,269/404
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 326,189,269
Greatest Common Factor of Numerators i.e. GCF of 326,189,269 is 1 .
LCM of Denominators means LCM of 847,129,404 as per the given fractions.
LCM of 847,129,404 is 44142252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 326,189,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 326,189,269 . The biggest common factor number is the GCF number.
So the greatest common factor 326,189,269 is 1.
Lets's calculate LCM of 847,129,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 44142252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44142252
Therefore, the GCF of Fractions 326/847,189/129,269/404 is 1/44142252
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 847,129,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,129,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,129,404) x common factors =1 x 1 = 1
LCM(847,129,404) = ( 847 × 129 × 404 ) / 1
LCM(847,129,404) = 44142252 / 1
LCM(847,129,404) = 44142252
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 326/847, 189/129, 269/404?
Answer: GCF of Numerators as per given numbers 326/847, 189/129, 269/404 is
GCF of Numerators i.e. for 326,189,269 is 1
LCM of denominators i.e. for 847,129,404 is 44142252.
Thus, GCF of Fractions is 1/44142252.Finally, GCF of Fractions for 326/847, 189/129, 269/404 is 1/44142252.