Question

find the greatest number that will exactly divided 322 207 and 506
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Answer 1

Answer:

We have to find the HCF of 322 207 and 506

$322 = 2 \times 7 \times 23 \\ 207 = 3 \times 3 \times 23 \\ 506 = 2 \times 11 \times 23 \\ so \: hcf \: = 23$

So the greatest number that divides all the given number is 23.

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Answer 2

Given numbers: $322, 207, 506$.

To find: the greatest number that will exactly divide the given numbers.

Solution:

Know that to find the greatest number that will exactly divide the given numbers, first find the HCF of the given numbers, then the HCF obtained will the greatest number that will exactly divide the given number.

Find the HCF of $322,207,506$.

$\[\begin{array}{l}322 = 2 \times 7 \times 23\\207 = 3 \times 3 \times 23\\506 = 2 \times 11 \times 23\\HCF\left( {322,207,506} \right) = 23\end{array}\]$

Hence, the greatest number that will exactly divide the given numbers is 23.