Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/257,864/592,133/489
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 357,864,133
Greatest Common Factor of Numerators i.e. GCF of 357,864,133 is 1 .
LCM of Denominators means LCM of 257,592,489 as per the given fractions.
LCM of 257,592,489 is 74398416 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,864,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 357,864,133 . The biggest common factor number is the GCF number.
So the greatest common factor 357,864,133 is 1.
Lets's calculate LCM of 257,592,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 74398416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74398416
Therefore, the GCF of Fractions 357/257,864/592,133/489 is 1/74398416
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 257,592,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,592,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,592,489) x common factors =1 x 1 = 1
LCM(257,592,489) = ( 257 × 592 × 489 ) / 1
LCM(257,592,489) = 74398416 / 1
LCM(257,592,489) = 74398416
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 357/257, 864/592, 133/489?
Answer: GCF of Numerators as per given numbers 357/257, 864/592, 133/489 is
GCF of Numerators i.e. for 357,864,133 is 1
LCM of denominators i.e. for 257,592,489 is 74398416.
Thus, GCF of Fractions is 1/74398416.Finally, GCF of Fractions for 357/257, 864/592, 133/489 is 1/74398416.