Question

three pieces of timber 42, metre 49 metre and 633 metre have to be divided into planks of the same length what is the greatest possible length of each plank ? how much planks are formed .​

Answer 1

To get this we have to find the HCF of the lengths so as we proceed

633=49×12+45

49=12×4+1

12=4×3+0

now lets procced with 42

42=14×3+0

hence the HCF(633,49,42)=3

so the greatest possible length is 3 metre