Morgan combines 48 red marble and 45 blue marble, he divides them equally into baskets. Find the way how he writes.
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Morgan combines 48 red marble and 45 blue marble, he divides them equally into baskets.
Find the rules.
3 in each basket
3 is the greatest common factor
To find out how Morgan divides the marbles equally into baskets, we first need to determine the number of baskets he has.
To divide the marbles equally, Morgan needs to find the greatest common divisor (GCD) of 48 and 45. The GCD represents the largest number that can evenly divide both 48 and 45.
The prime factorization of 48 is: 2^4 * 3
The prime factorization of 45 is: 3^2 * 5
To find the GCD, we take the product of the common prime factors with the lowest exponent:
GCD(48, 45) = 3^1 = 3
Therefore, Morgan divides the marbles equally into 3 baskets.