Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/337,207/810,256/806
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 603,207,256
Greatest Common Factor of Numerators i.e. GCF of 603,207,256 is 1 .
LCM of Denominators means LCM of 337,810,806 as per the given fractions.
LCM of 337,810,806 is 110006910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,207,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 603,207,256 . The biggest common factor number is the GCF number.
So the greatest common factor 603,207,256 is 1.
Lets's calculate LCM of 337,810,806
2 | 337, 810, 806 |
337, 405, 403 |
∴ So the LCM of the given numbers is 2 x 337 x 405 x 403 = 110006910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110006910
Therefore, the GCF of Fractions 603/337,207/810,256/806 is 1/110006910
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 337,810,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,810,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(337,810,806) x common factors =1 x 2 = 2
LCM(337,810,806) = ( 337 × 810 × 806 ) / 2
LCM(337,810,806) = 220013820 / 2
LCM(337,810,806) = 110006910
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 603/337, 207/810, 256/806?
Answer: GCF of Numerators as per given numbers 603/337, 207/810, 256/806 is
GCF of Numerators i.e. for 603,207,256 is 1
LCM of denominators i.e. for 337,810,806 is 110006910.
Thus, GCF of Fractions is 1/110006910.Finally, GCF of Fractions for 603/337, 207/810, 256/806 is 1/110006910.