Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/326,645/357,984/891
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 36,645,984
Greatest Common Factor of Numerators i.e. GCF of 36,645,984 is 3 .
LCM of Denominators means LCM of 326,357,891 as per the given fractions.
LCM of 326,357,891 is 34565454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,645,984
3 | 36, 645, 984 |
12, 215, 328 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 36,645,984 . The biggest common factor number is the GCF number.
So the greatest common factor 36,645,984 is 3.
Lets's calculate LCM of 326,357,891
3 | 326, 357, 891 |
326, 119, 297 |
∴ So the LCM of the given numbers is 3 x 326 x 119 x 297 = 34565454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34565454
Therefore, the GCF of Fractions 36/326,645/357,984/891 is 3/34565454
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 326,357,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,357,891) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(326,357,891) x common factors =1 x 3 = 3
LCM(326,357,891) = ( 326 × 357 × 891 ) / 3
LCM(326,357,891) = 103696362 / 3
LCM(326,357,891) = 34565454
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 36/326, 645/357, 984/891?
Answer: GCF of Numerators as per given numbers 36/326, 645/357, 984/891 is
GCF of Numerators i.e. for 36,645,984 is 3
LCM of denominators i.e. for 326,357,891 is 34565454.
Thus, GCF of Fractions is 3/34565454.Finally, GCF of Fractions for 36/326, 645/357, 984/891 is 3/34565454.