Question

Find the hcf and lcm of 510 765 408 in prime factorization methord

Answer 1

$\textbf{Given numbers are 510, 765, 408}$

$\textbf{To find: HCF}$

$\begin{array}{r|l}2&510\\\cline{2-2}3&255\\\cline{2-2}5&85\\\cline{2-2}17&17\\\cline{2-2}&1\\\cline{2-2}\end{array}$

$\begin{array}{r|l}3&765\\\cline{2-2}3&255\\\cline{2-2}5&85\\\cline{2-2}17&17\\\cline{2-2}&1\\\cline{2-2}\end{array}$

$\begin{array}{r|l}2&408\\\cline{2-2}2&204\\\cline{2-2}2&102\\\cline{2-2}3&51\\\cline{2-2}17&17\\\cline{2-2}&1\\\cline{2-2}\end{array}$

$\textbf{Finding HCF:}$

$510=2{\times}\boxed{3}{\times}5{\times}\boxed{17}$

$765=\boxed{3}{\times}3{\times}5{\times}\boxed{17}$

$408=2{\times}2{\times}2{\times}\boxed{3}{\times}\boxed{17}$

$\text{From the common factors, we get}$

$\text{HCF=}3{\times}17$

$\implies\textbf{HCF=51}$

$\textbf{Finding LCM:}$

$510=2{\times}3{\times}5{\times}17$

$765=3^2{\times}5{\times}17$

$408=2^3{\times}3{\times}17$

$\text{LCM=}2^3{\times}3^2{\times}5{\times}17$

$\text{LCM=8}{\times}9{\times}5{\times}17$

$\implies\textbf{LCM=6120}$

$\therefore\textbf{HCF=51 and LCM=6120}$

Find more:

Find the ratio between HCF and LCM of 10 15 and 20

https://brainly.in/question/15064394

Find the greatest number that divides 3128 and 420 ​

https://brainly.in/question/15327150

Find hcf of 144, 96, 54 by prime factorisation

https://brainly.in/question/2132704

Answer 2

Answer:

जय श्री राम

यह रहा आपके प्रश्न का उत्तर