Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 443/58,274/41,584/234
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 443,274,584
Greatest Common Factor of Numerators i.e. GCF of 443,274,584 is 1 .
LCM of Denominators means LCM of 58,41,234 as per the given fractions.
LCM of 58,41,234 is 278226 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 443,274,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 584
List of positive integer factors of 584 that divides 584 without a remainder.
1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 443,274,584 . The biggest common factor number is the GCF number.
So the greatest common factor 443,274,584 is 1.
Lets's calculate LCM of 58,41,234
2 | 58, 41, 234 |
29, 41, 117 |
∴ So the LCM of the given numbers is 2 x 29 x 41 x 117 = 278226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278226
Therefore, the GCF of Fractions 443/58,274/41,584/234 is 1/278226
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 58,41,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,41,234) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(58,41,234) x common factors =1 x 2 = 2
LCM(58,41,234) = ( 58 × 41 × 234 ) / 2
LCM(58,41,234) = 556452 / 2
LCM(58,41,234) = 278226
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 443/58, 274/41, 584/234?
Answer: GCF of Numerators as per given numbers 443/58, 274/41, 584/234 is
GCF of Numerators i.e. for 443,274,584 is 1
LCM of denominators i.e. for 58,41,234 is 278226.
Thus, GCF of Fractions is 1/278226.Finally, GCF of Fractions for 443/58, 274/41, 584/234 is 1/278226.