Question

find the gcf of the following number using continuous division write your answer on your notebook1. 24 and 72 2. 18 27 and 45 3. 24 32 and 48 4. 24 and 36​

Answer 1

Answer:

Step-by-step explanation:

Concept:

The term GCF refers to the largest common factor among the integers. One technique you can use to determine the GCF is continuous division.

$24 and 72 = 24$

$18, 27 and 45 = 9$

$24, 32 and 48 = 8$

$24 and 36 = 12$

Given:

Numbers are $1. 24 and 72$ $2. 18 27 and 45$ $3. 24 32 and 48$ $4. 24 and 36$

Find:

To find the GCF of the given numbers using continuous division

Prime numbers are dealt with in continuous division. These are the procedures for utilizing continuous division to find the GCF.

Note the numbers down.

Ink a shape of a "L" all around the digits.

Write a frequent prime number outside of the "L" shape in your mind.

Write the quotient below the numbers after dividing them by the common factor.

Repeat the process until there is no longer a common factor among the integers.

To obtain the GCF, multiply all of their shared prime factors.

Solution:

Let's now use the continuous division method to determine the GCF of the numbers.

$1. 3 * 2 * 2 * 2 = 24$

$3 | 24 722 | 8 242 | 4 122 | 2 61 3$

$2. 3*3 = 9$

$3 | 18 27 453 | 6 9 152 3 5$

$3. 2 * 2 * 2 = 8$

$2 | 24 32 482 | 12 16 242 | 6 8 123 4 6$

$4. 3 * 2 * 2 = 12$

$3 | 24 362 | 8 122 | 4 62 3$

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