Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 617/580,435/172,488/258
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 617,435,488
Greatest Common Factor of Numerators i.e. GCF of 617,435,488 is 1 .
LCM of Denominators means LCM of 580,172,258 as per the given fractions.
LCM of 580,172,258 is 74820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 617,435,488
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 617,435,488 . The biggest common factor number is the GCF number.
So the greatest common factor 617,435,488 is 1.
Lets's calculate LCM of 580,172,258
2 | 580, 172, 258 |
2 | 290, 86, 129 |
43 | 145, 43, 129 |
145, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 145 x 1 x 3 = 74820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74820
Therefore, the GCF of Fractions 617/580,435/172,488/258 is 1/74820
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 580,172,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,172,258) = 2
common factors(in case of two or more numbers have common factors) = 172
GCF(580,172,258) x common factors =2 x 172 = 344
LCM(580,172,258) = ( 580 × 172 × 258 ) / 344
LCM(580,172,258) = 25738080 / 344
LCM(580,172,258) = 74820
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 617/580, 435/172, 488/258?
Answer: GCF of Numerators as per given numbers 617/580, 435/172, 488/258 is
GCF of Numerators i.e. for 617,435,488 is 1
LCM of denominators i.e. for 580,172,258 is 74820.
Thus, GCF of Fractions is 1/74820.Finally, GCF of Fractions for 617/580, 435/172, 488/258 is 1/74820.