Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/482,321/111,503/367
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 423,321,503
Greatest Common Factor of Numerators i.e. GCF of 423,321,503 is 1 .
LCM of Denominators means LCM of 482,111,367 as per the given fractions.
LCM of 482,111,367 is 19635234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 423,321,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 423,321,503 . The biggest common factor number is the GCF number.
So the greatest common factor 423,321,503 is 1.
Lets's calculate LCM of 482,111,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 19635234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19635234
Therefore, the GCF of Fractions 423/482,321/111,503/367 is 1/19635234
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 482,111,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,111,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,111,367) x common factors =1 x 1 = 1
LCM(482,111,367) = ( 482 × 111 × 367 ) / 1
LCM(482,111,367) = 19635234 / 1
LCM(482,111,367) = 19635234
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 423/482, 321/111, 503/367?
Answer: GCF of Numerators as per given numbers 423/482, 321/111, 503/367 is
GCF of Numerators i.e. for 423,321,503 is 1
LCM of denominators i.e. for 482,111,367 is 19635234.
Thus, GCF of Fractions is 1/19635234.Finally, GCF of Fractions for 423/482, 321/111, 503/367 is 1/19635234.