<p>The numbers $87750$, $28000$and $175175$ written as the products of their prime factors, are$87750=2\times {{3}^{3}}\times {{5}^{3}}\times 13$, $28000={{2}^{5}}\times {{5}^{3}}\times 7$ and $175175={{5}^{2}}\times {{7}^{2}}\times 11\times 13$.</p>
<p>Hence, find the greatest whole number that will divide $87750$, $28000$ and $175175$ exactly.</p>

The numbers $87750$, $28000$and $175175$ written as the products of their prime factors, are$87750=2\times {{3}^{3}}\times {{5}^{3}}\times 13$, $28000={{2}^{5}}\times {{5}^{3}}\times 7$ and $175175={{5}^{2}}\times {{7}^{2}}\times 11\times 13$.

Hence, find the greatest whole number that will divide $87750$, $28000$ and $175175$ exactly.

Finding the Greatest Common Divisor Using Prime Factorisation

Finding the Greatest Common Divisor Using Prime Factorisation

Video Solution: