Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 157/590,399/221,254/436
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 157,399,254
Greatest Common Factor of Numerators i.e. GCF of 157,399,254 is 1 .
LCM of Denominators means LCM of 590,221,436 as per the given fractions.
LCM of 590,221,436 is 28425020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 157,399,254
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Greatest Common Factor
We found the factors 157,399,254 . The biggest common factor number is the GCF number.
So the greatest common factor 157,399,254 is 1.
Lets's calculate LCM of 590,221,436
2 | 590, 221, 436 |
295, 221, 218 |
∴ So the LCM of the given numbers is 2 x 295 x 221 x 218 = 28425020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28425020
Therefore, the GCF of Fractions 157/590,399/221,254/436 is 1/28425020
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 590,221,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,221,436) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(590,221,436) x common factors =1 x 2 = 2
LCM(590,221,436) = ( 590 × 221 × 436 ) / 2
LCM(590,221,436) = 56850040 / 2
LCM(590,221,436) = 28425020
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 157/590, 399/221, 254/436?
Answer: GCF of Numerators as per given numbers 157/590, 399/221, 254/436 is
GCF of Numerators i.e. for 157,399,254 is 1
LCM of denominators i.e. for 590,221,436 is 28425020.
Thus, GCF of Fractions is 1/28425020.Finally, GCF of Fractions for 157/590, 399/221, 254/436 is 1/28425020.