Question

find the hcf using long division method for 70, 140, 420​

Answer 1

Answer:

Hey mate the answer is in the image

Answer 2

Solution

Factorization of 70

$\begin{array}{r | l}2 & 70 \\\cline{2-2} 5 & 35 \\\cline{2-2} 7 & 7 \\\cline{2-2} & 1 \\\end{array}$

= 2 × 5 × 7 × 1

Factorization of 140

$\begin{array}{r | l} 2 & 140\\\cline{2-2} 2 & 70 \\\cline{2-2} 5 & 35 \\\cline{2-2} 7 & 7 \\\cline{2-2} & 1 \\\end{array}$

= 2² × 5 × 7 × 1

Factorization of 420

$\begin{array}{r | l} 2 & 420\\\cline{2-2} 2 & 210 \\\cline{2-2} 3 & 105 \\\cline{2-2} 5 & 35 \\\cline{2-2} 7& 7 \\\cline{2-2} & 1\end{array}$

= 2² × 3 × 5 × 7 × 1

So HCF of 70 , 140 , 420

= 2 × 5 × 7 × 1

= 70