Question

using prime factorization method find the HCF and LCM of 1152 and 1564
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Answer 1

Step-by-step explanation:

Greatest Common Divisor (GCD) for 1152 1564 is 4.

Explanation

The Greatest Common Divisor (GCD), also known as the Greatest Common Factor (GCF), or Highest Common Factor (HCF), of two or more non-zero integers, is the largest positive integer that divides the numbers without a remainder.

In this example:

Factors of 1152 are: 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 16 , 18 , 24 , 32 , 36 , 48 , 64 , 72 , 96 , 128 , 144 , 192 , 288 , 384 , 576 , 1152.

Factors of 1564 are: 1 , 2 , 4 , 17 , 23 , 34 , 46 , 68 , 92 , 391 , 782 , 1564.

We see that the Greatest Common Factor (Divisor) is 4.

Least Common Multiple (LCM) for 1152 1564 is 450432.

Explanation

The Least Common Multiple (LCM) is the smallest number that two or more numbers will divide into evenly. NOTE: to find LCM you first need to know how to find GCD.

Step 1: Find the GCD (Greatest Common Divisor ) of 1152 and 1564 which is 4.

Step 2: Multiply the numbers 1152 and 1564 together ( 1152 * 1564 = 1801728 )

Step 3: Divide the 1801728 with 4. (1801728/4 = 450432)

So, the LCM of 1152 and 1564 is 450432.

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