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Arturiano [62]
4 years ago
9

What is the Greatest common divisor of 378 and 420?

Mathematics
1 answer:
atroni [7]4 years ago
3 0

Answer:

42

Step-by-step explanation:

When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.

So in this case the smallest divisor will be 2.

<u>37</u><u>8</u> =189. <u>420</u> =210

2. 2

The next divisor that 189 and 210 can both be divided with is 3

<u>189</u> =63. <u>210</u> =70

3. 3

The third smallest divisor that can 63 and 70 can be divided with is 7

<u>63</u> =9. <u>70</u> =10

7. 7

9 and 10 have no common divisors that can divide them fully without leaving a remainder

So to get the greatest common divisor, multiply all the divisors you have used

In this case we've used 2,3,7

2x3x7= 42

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