Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 810/207,821/810,642/408
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 810,821,642
Greatest Common Factor of Numerators i.e. GCF of 810,821,642 is 1 .
LCM of Denominators means LCM of 207,810,408 as per the given fractions.
LCM of 207,810,408 is 1266840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 810,821,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 810,821,642 . The biggest common factor number is the GCF number.
So the greatest common factor 810,821,642 is 1.
Lets's calculate LCM of 207,810,408
2 | 207, 810, 408 |
3 | 207, 405, 204 |
3 | 69, 135, 68 |
23, 45, 68 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 45 x 68 = 1266840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1266840
Therefore, the GCF of Fractions 810/207,821/810,642/408 is 1/1266840
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 207,810,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,810,408) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(207,810,408) x common factors =3 x 18 = 54
LCM(207,810,408) = ( 207 × 810 × 408 ) / 54
LCM(207,810,408) = 68409360 / 54
LCM(207,810,408) = 1266840
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 810/207, 821/810, 642/408?
Answer: GCF of Numerators as per given numbers 810/207, 821/810, 642/408 is
GCF of Numerators i.e. for 810,821,642 is 1
LCM of denominators i.e. for 207,810,408 is 1266840.
Thus, GCF of Fractions is 1/1266840.Finally, GCF of Fractions for 810/207, 821/810, 642/408 is 1/1266840.