Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/307,921/801,855/276
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 21,921,855
Greatest Common Factor of Numerators i.e. GCF of 21,921,855 is 3 .
LCM of Denominators means LCM of 307,801,276 as per the given fractions.
LCM of 307,801,276 is 22623444 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,921,855
3 | 21, 921, 855 |
7, 307, 285 |
∴ 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 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 21,921,855 . The biggest common factor number is the GCF number.
So the greatest common factor 21,921,855 is 3.
Lets's calculate LCM of 307,801,276
3 | 307, 801, 276 |
307, 267, 92 |
∴ So the LCM of the given numbers is 3 x 307 x 267 x 92 = 22623444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22623444
Therefore, the GCF of Fractions 21/307,921/801,855/276 is 3/22623444
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 307,801,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,801,276) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(307,801,276) x common factors =1 x 3 = 3
LCM(307,801,276) = ( 307 × 801 × 276 ) / 3
LCM(307,801,276) = 67870332 / 3
LCM(307,801,276) = 22623444
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 21/307, 921/801, 855/276?
Answer: GCF of Numerators as per given numbers 21/307, 921/801, 855/276 is
GCF of Numerators i.e. for 21,921,855 is 3
LCM of denominators i.e. for 307,801,276 is 22623444.
Thus, GCF of Fractions is 3/22623444.Finally, GCF of Fractions for 21/307, 921/801, 855/276 is 3/22623444.