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3. Playing with Numbers
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Q2 of 55 Page 63

What is the HCF of two consecutive-

(a) numbers?


(b) even numbers?


(c) odd numbers?

(a) Consecutive numbers


Example- 2 and 3


HCF = 1


(b) Even number


Example – 2 and 4


HCF = 2


(c) Odd numbers


Example – 3 and 5


HCF = 1


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12

I am the smallest number, having four different prime factors. Can you find me?

1

Find the HCF of the following numbers:

(a) 18, 48 (b) 30, 42


(c) 18, 60 (d) 27, 63


(e) 36, 84 (f) 34, 102


(g) 70, 105, 175


(h) 91, 112, 49 (i) 18, 54, 81


(j) 12. 45. 75

3

HCF of co-prime numbers 4 and 15 was found as follows by factorization: 4 = 2 × 2 and 15 = 3 × 5 since there is no common prime factor. So, HCF of 4 and 15 is 0. Is the answer correct? If not, what is the correct HCF?

1

Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Questions · 55
3. Playing with Numbers
1 2 3 4 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 1 2 3 4 5 6 7 8 9 10 11
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