Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/456,354/503,460/231
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 28,354,460
Greatest Common Factor of Numerators i.e. GCF of 28,354,460 is 2 .
LCM of Denominators means LCM of 456,503,231 as per the given fractions.
LCM of 456,503,231 is 17661336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 28,354,460
2 | 28, 354, 460 |
14, 177, 230 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 28,354,460 . The biggest common factor number is the GCF number.
So the greatest common factor 28,354,460 is 2.
Lets's calculate LCM of 456,503,231
3 | 456, 503, 231 |
152, 503, 77 |
∴ So the LCM of the given numbers is 3 x 152 x 503 x 77 = 17661336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17661336
Therefore, the GCF of Fractions 28/456,354/503,460/231 is 2/17661336
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 456,503,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,503,231) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(456,503,231) x common factors =1 x 3 = 3
LCM(456,503,231) = ( 456 × 503 × 231 ) / 3
LCM(456,503,231) = 52984008 / 3
LCM(456,503,231) = 17661336
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 28/456, 354/503, 460/231?
Answer: GCF of Numerators as per given numbers 28/456, 354/503, 460/231 is
GCF of Numerators i.e. for 28,354,460 is 2
LCM of denominators i.e. for 456,503,231 is 17661336.
Thus, GCF of Fractions is 2/17661336.Finally, GCF of Fractions for 28/456, 354/503, 460/231 is 2/17661336.