Use Euclid’s division algorithm to find the HCF of 441, 567 and 693.
By Euclid’s division algorithm, b = a × q + r, 0 ≤ r < a
Here, b is any positive integer .
First we take b = 693 and a = 567 and get the required HCF.
⇒ 693 = 567 × 1 + 126
⇒ 567 = 126 × 4 + 63
⇒ 126 = 63 × 2 + 0
So, HCF(693,567) = 63
Now, take b = 441 and a = 63 and get the required HCF.
⇒ 441 = 63 × 7 + 0
So, HCF (441, 63) = 63
Hence, the HCF (441, 567, 693) = 63