Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1786/326,3952/326
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 1786,3952
Greatest Common Factor of Numerators i.e. GCF of 1786,3952 is 38 .
LCM of Denominators means LCM of 326,326 as per the given fractions.
LCM of 326,326 is 326 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1786,3952
2 | 1786, 3952 |
19 | 893, 1976 |
47, 104 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Factors of 1786
List of positive integer factors of 1786 that divides 1786 without a remainder.
1,2,19,38,47,94,893,1786
Factors of 3952
List of positive integer factors of 3952 that divides 3952 without a remainder.
1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952
Greatest Common Factor
We found the factors 1786,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 1786,3952 is 38.
Lets's calculate LCM of 326,326
2 | 326, 326 |
163 | 163, 163 |
1, 1 |
∴ So the LCM of the given numbers is 2 x 163 x 1 x 1 = 326
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/326
Therefore, the GCF of Fractions 1786/326,3952/326 is 38/326
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 326,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,326) = 326
common factors(in case of two or more numbers have common factors) = 1
GCF(326,326) x common factors =326 x 1 = 326
LCM(326,326) = ( 326 × 326 ) / 326
LCM(326,326) = 106276 / 326
LCM(326,326) = 326
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 1786/326, 3952/326?
Answer: GCF of Numerators as per given numbers 1786/326, 3952/326 is
GCF of Numerators i.e. for 1786,3952 is 38
LCM of denominators i.e. for 326,326 is 326.
Thus, GCF of Fractions is 38/326.Finally, GCF of Fractions for 1786/326, 3952/326 is 38/326.