Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 482/958,747/729,423/563
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 482,747,423
Greatest Common Factor of Numerators i.e. GCF of 482,747,423 is 1 .
LCM of Denominators means LCM of 958,729,563 as per the given fractions.
LCM of 958,729,563 is 393189066 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 482,747,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 482,747,423 . The biggest common factor number is the GCF number.
So the greatest common factor 482,747,423 is 1.
Lets's calculate LCM of 958,729,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 393189066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393189066
Therefore, the GCF of Fractions 482/958,747/729,423/563 is 1/393189066
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 958,729,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,729,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,729,563) x common factors =1 x 1 = 1
LCM(958,729,563) = ( 958 × 729 × 563 ) / 1
LCM(958,729,563) = 393189066 / 1
LCM(958,729,563) = 393189066
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 482/958, 747/729, 423/563?
Answer: GCF of Numerators as per given numbers 482/958, 747/729, 423/563 is
GCF of Numerators i.e. for 482,747,423 is 1
LCM of denominators i.e. for 958,729,563 is 393189066.
Thus, GCF of Fractions is 1/393189066.Finally, GCF of Fractions for 482/958, 747/729, 423/563 is 1/393189066.