Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 257/65,973/75,745/259
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 257,973,745
Greatest Common Factor of Numerators i.e. GCF of 257,973,745 is 1 .
LCM of Denominators means LCM of 65,75,259 as per the given fractions.
LCM of 65,75,259 is 252525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 257,973,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 257,973,745 . The biggest common factor number is the GCF number.
So the greatest common factor 257,973,745 is 1.
Lets's calculate LCM of 65,75,259
5 | 65, 75, 259 |
13, 15, 259 |
∴ So the LCM of the given numbers is 5 x 13 x 15 x 259 = 252525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252525
Therefore, the GCF of Fractions 257/65,973/75,745/259 is 1/252525
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 65,75,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,75,259) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,75,259) x common factors =1 x 5 = 5
LCM(65,75,259) = ( 65 × 75 × 259 ) / 5
LCM(65,75,259) = 1262625 / 5
LCM(65,75,259) = 252525
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 257/65, 973/75, 745/259?
Answer: GCF of Numerators as per given numbers 257/65, 973/75, 745/259 is
GCF of Numerators i.e. for 257,973,745 is 1
LCM of denominators i.e. for 65,75,259 is 252525.
Thus, GCF of Fractions is 1/252525.Finally, GCF of Fractions for 257/65, 973/75, 745/259 is 1/252525.