Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/908,223/248,534/251
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 318,223,534
Greatest Common Factor of Numerators i.e. GCF of 318,223,534 is 1 .
LCM of Denominators means LCM of 908,248,251 as per the given fractions.
LCM of 908,248,251 is 14130296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 318,223,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 318,223,534 . The biggest common factor number is the GCF number.
So the greatest common factor 318,223,534 is 1.
Lets's calculate LCM of 908,248,251
2 | 908, 248, 251 |
2 | 454, 124, 251 |
227, 62, 251 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 62 x 251 = 14130296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14130296
Therefore, the GCF of Fractions 318/908,223/248,534/251 is 1/14130296
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 908,248,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,248,251) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(908,248,251) x common factors =1 x 4 = 4
LCM(908,248,251) = ( 908 × 248 × 251 ) / 4
LCM(908,248,251) = 56521184 / 4
LCM(908,248,251) = 14130296
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 318/908, 223/248, 534/251?
Answer: GCF of Numerators as per given numbers 318/908, 223/248, 534/251 is
GCF of Numerators i.e. for 318,223,534 is 1
LCM of denominators i.e. for 908,248,251 is 14130296.
Thus, GCF of Fractions is 1/14130296.Finally, GCF of Fractions for 318/908, 223/248, 534/251 is 1/14130296.