Bina had two pieces of coloured paper measuring 45 cm and
63 cm. What is the size of the largest square piece that can be
cut out of both the pieces without wasting paper?
Answers
Answered by
4
Measure of the first paper with Bina = 45 cm
Measure of the other paper with Bina = 63 cm
Size of the largest square that can be cut out , in a way in which no paper is left to waste :
= Since they are asking the largest , we have to find the HCF of the given measures .
Factors of 45 - 1 , 3, 5, 9, 15, 45
Factors of 63 - 1 , 3 , 7, 9, 21, 63
Common factors = 3 , 9
Highest common factor = 9
Hence , the HCF of 45 and 63 is 9 , which means 9 is the size of the largest square that can be cut out , in a way in which no paper is left to waste .
Therefore , the size of the largest square piece that can be cut out of both the pieces without wasting paper is 9 .
Hope you find my answer useful!!
Similar questions