Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3431/476,1189/2826
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 3431,1189
Greatest Common Factor of Numerators i.e. GCF of 3431,1189 is 1 .
LCM of Denominators means LCM of 476,2826 as per the given fractions.
LCM of 476,2826 is 672588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3431,1189
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3431
List of positive integer factors of 3431 that divides 3431 without a remainder.
1,47,73,3431
Factors of 1189
List of positive integer factors of 1189 that divides 1189 without a remainder.
1,29,41,1189
Greatest Common Factor
We found the factors 3431,1189 . The biggest common factor number is the GCF number.
So the greatest common factor 3431,1189 is 1.
Lets's calculate LCM of 476,2826
2 | 476, 2826 |
238, 1413 |
∴ So the LCM of the given numbers is 2 x 238 x 1413 = 672588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672588
Therefore, the GCF of Fractions 3431/476,1189/2826 is 1/672588
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 476,2826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,2826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,2826) x common factors =2 x 1 = 2
LCM(476,2826) = ( 476 × 2826 ) / 2
LCM(476,2826) = 1345176 / 2
LCM(476,2826) = 672588
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 3431/476, 1189/2826?
Answer: GCF of Numerators as per given numbers 3431/476, 1189/2826 is
GCF of Numerators i.e. for 3431,1189 is 1
LCM of denominators i.e. for 476,2826 is 672588.
Thus, GCF of Fractions is 1/672588.Finally, GCF of Fractions for 3431/476, 1189/2826 is 1/672588.