Question

1344 and 1638 hcf by long division meathod

Answer 1

Answer:

= 42 = 2 × 3 × 7

Step-by-step explanation:

Step 1. Divide the larger number by the smaller one:

1,638 ÷ 1,344 = 1 + 294;

Step 2. Divide the smaller number by the above operation's remainder:

1,344 ÷ 294 = 4 + 168;

Step 3. Divide the remainder from the step 1 by the remainder from the step 2:

294 ÷ 168 = 1 + 126;

Step 4. Divide the remainder from the step 2 by the remainder from the step 3:

168 ÷ 126 = 1 + 42;

Step 5. Divide the remainder from the step 3 by the remainder from the step 4:

126 ÷ 42 = 3 + 0;

At this step, the remainder is zero, so we stop:

42 is the number we were looking for, the last remainder that is not zero.

This is the highest common factor.

Highest common factor:

hcf (1,638; 1,344) = 42

hcf (1,638; 1,344) = 42 = 2 × 3 × 7;