Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 352/24,227/36,332/506
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 352,227,332
Greatest Common Factor of Numerators i.e. GCF of 352,227,332 is 1 .
LCM of Denominators means LCM of 24,36,506 as per the given fractions.
LCM of 24,36,506 is 18216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 352,227,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 352,227,332 . The biggest common factor number is the GCF number.
So the greatest common factor 352,227,332 is 1.
Lets's calculate LCM of 24,36,506
2 | 24, 36, 506 |
2 | 12, 18, 253 |
3 | 6, 9, 253 |
2, 3, 253 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 3 x 253 = 18216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18216
Therefore, the GCF of Fractions 352/24,227/36,332/506 is 1/18216
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 24,36,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,36,506) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(24,36,506) x common factors =2 x 12 = 24
LCM(24,36,506) = ( 24 × 36 × 506 ) / 24
LCM(24,36,506) = 437184 / 24
LCM(24,36,506) = 18216
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 352/24, 227/36, 332/506?
Answer: GCF of Numerators as per given numbers 352/24, 227/36, 332/506 is
GCF of Numerators i.e. for 352,227,332 is 1
LCM of denominators i.e. for 24,36,506 is 18216.
Thus, GCF of Fractions is 1/18216.Finally, GCF of Fractions for 352/24, 227/36, 332/506 is 1/18216.