Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 269/26,684/72,257/649
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 269,684,257
Greatest Common Factor of Numerators i.e. GCF of 269,684,257 is 1 .
LCM of Denominators means LCM of 26,72,649 as per the given fractions.
LCM of 26,72,649 is 607464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 269,684,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 269,684,257 . The biggest common factor number is the GCF number.
So the greatest common factor 269,684,257 is 1.
Lets's calculate LCM of 26,72,649
2 | 26, 72, 649 |
13, 36, 649 |
∴ So the LCM of the given numbers is 2 x 13 x 36 x 649 = 607464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607464
Therefore, the GCF of Fractions 269/26,684/72,257/649 is 1/607464
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 26,72,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,72,649) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,72,649) x common factors =1 x 2 = 2
LCM(26,72,649) = ( 26 × 72 × 649 ) / 2
LCM(26,72,649) = 1214928 / 2
LCM(26,72,649) = 607464
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 269/26, 684/72, 257/649?
Answer: GCF of Numerators as per given numbers 269/26, 684/72, 257/649 is
GCF of Numerators i.e. for 269,684,257 is 1
LCM of denominators i.e. for 26,72,649 is 607464.
Thus, GCF of Fractions is 1/607464.Finally, GCF of Fractions for 269/26, 684/72, 257/649 is 1/607464.