Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/875,498/855,801/282
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 21,498,801
Greatest Common Factor of Numerators i.e. GCF of 21,498,801 is 3 .
LCM of Denominators means LCM of 875,855,282 as per the given fractions.
LCM of 875,855,282 is 14064750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,498,801
3 | 21, 498, 801 |
7, 166, 267 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 21,498,801 . The biggest common factor number is the GCF number.
So the greatest common factor 21,498,801 is 3.
Lets's calculate LCM of 875,855,282
3 | 875, 855, 282 |
5 | 875, 285, 94 |
175, 57, 94 |
∴ So the LCM of the given numbers is 3 x 5 x 175 x 57 x 94 = 14064750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14064750
Therefore, the GCF of Fractions 21/875,498/855,801/282 is 3/14064750
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 875,855,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,855,282) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(875,855,282) x common factors =1 x 15 = 15
LCM(875,855,282) = ( 875 × 855 × 282 ) / 15
LCM(875,855,282) = 210971250 / 15
LCM(875,855,282) = 14064750
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 21/875, 498/855, 801/282?
Answer: GCF of Numerators as per given numbers 21/875, 498/855, 801/282 is
GCF of Numerators i.e. for 21,498,801 is 3
LCM of denominators i.e. for 875,855,282 is 14064750.
Thus, GCF of Fractions is 3/14064750.Finally, GCF of Fractions for 21/875, 498/855, 801/282 is 3/14064750.