Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 236/28,656/82,435/940
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 236,656,435
Greatest Common Factor of Numerators i.e. GCF of 236,656,435 is 1 .
LCM of Denominators means LCM of 28,82,940 as per the given fractions.
LCM of 28,82,940 is 269780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 236,656,435
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Greatest Common Factor
We found the factors 236,656,435 . The biggest common factor number is the GCF number.
So the greatest common factor 236,656,435 is 1.
Lets's calculate LCM of 28,82,940
2 | 28, 82, 940 |
2 | 14, 41, 470 |
7, 41, 235 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 235 = 269780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269780
Therefore, the GCF of Fractions 236/28,656/82,435/940 is 1/269780
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 28,82,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,82,940) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(28,82,940) x common factors =2 x 4 = 8
LCM(28,82,940) = ( 28 × 82 × 940 ) / 8
LCM(28,82,940) = 2158240 / 8
LCM(28,82,940) = 269780
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 236/28, 656/82, 435/940?
Answer: GCF of Numerators as per given numbers 236/28, 656/82, 435/940 is
GCF of Numerators i.e. for 236,656,435 is 1
LCM of denominators i.e. for 28,82,940 is 269780.
Thus, GCF of Fractions is 1/269780.Finally, GCF of Fractions for 236/28, 656/82, 435/940 is 1/269780.