Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 798/20,465/56,621/855
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 798,465,621
Greatest Common Factor of Numerators i.e. GCF of 798,465,621 is 3 .
LCM of Denominators means LCM of 20,56,855 as per the given fractions.
LCM of 20,56,855 is 47880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 798,465,621
3 | 798, 465, 621 |
266, 155, 207 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 798,465,621 . The biggest common factor number is the GCF number.
So the greatest common factor 798,465,621 is 3.
Lets's calculate LCM of 20,56,855
2 | 20, 56, 855 |
2 | 10, 28, 855 |
5 | 5, 14, 855 |
1, 14, 171 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 14 x 171 = 47880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/47880
Therefore, the GCF of Fractions 798/20,465/56,621/855 is 3/47880
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 20,56,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,56,855) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,56,855) x common factors =1 x 20 = 20
LCM(20,56,855) = ( 20 × 56 × 855 ) / 20
LCM(20,56,855) = 957600 / 20
LCM(20,56,855) = 47880
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 798/20, 465/56, 621/855?
Answer: GCF of Numerators as per given numbers 798/20, 465/56, 621/855 is
GCF of Numerators i.e. for 798,465,621 is 3
LCM of denominators i.e. for 20,56,855 is 47880.
Thus, GCF of Fractions is 3/47880.Finally, GCF of Fractions for 798/20, 465/56, 621/855 is 3/47880.