Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/238,914/978,251/537
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 57,914,251
Greatest Common Factor of Numerators i.e. GCF of 57,914,251 is 1 .
LCM of Denominators means LCM of 238,978,537 as per the given fractions.
LCM of 238,978,537 is 20832378 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 57,914,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Greatest Common Factor
We found the factors 57,914,251 . The biggest common factor number is the GCF number.
So the greatest common factor 57,914,251 is 1.
Lets's calculate LCM of 238,978,537
2 | 238, 978, 537 |
3 | 119, 489, 537 |
119, 163, 179 |
∴ So the LCM of the given numbers is 2 x 3 x 119 x 163 x 179 = 20832378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20832378
Therefore, the GCF of Fractions 57/238,914/978,251/537 is 1/20832378
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 238,978,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(238,978,537) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(238,978,537) x common factors =1 x 6 = 6
LCM(238,978,537) = ( 238 × 978 × 537 ) / 6
LCM(238,978,537) = 124994268 / 6
LCM(238,978,537) = 20832378
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 57/238, 914/978, 251/537?
Answer: GCF of Numerators as per given numbers 57/238, 914/978, 251/537 is
GCF of Numerators i.e. for 57,914,251 is 1
LCM of denominators i.e. for 238,978,537 is 20832378.
Thus, GCF of Fractions is 1/20832378.Finally, GCF of Fractions for 57/238, 914/978, 251/537 is 1/20832378.