Question

Find the HCF and LCM of the numbers given below. Verify that their product is
qual to the product of the given numbers.
(032, 37
(ii) 46, 51 (iii) 15, 60 (iv) 18. 63 (V) 78, 104
be​

Answer 1

Answer:

i. 32 = 2 x 16 = 2 x 2 x 8 = 2 x 2 x 2 x 4 = 2 x 2 x 2 x 2 x 2 x 1 37 = 37 x 1

∴ HCF of 32 and 37 =1 LCM of 32 and 37 = 2 x 2 x 2 x 2 x 2 x 37 = 1184 HCF x LCM = 1 x 1184 = 1184 Product of the given numbers = 32 x 37 = 1184

∴ HCF x LCM = Product of the given numbers.

ii. 46 = 2 x 23 x 1 51 = 3 x 17 x 1

∴ HCF of 46 and 51 = 1 LCM of 46 and 51 = 2 x 23 x 3 x 17 = 2346 HCF x LCM = 1 x 2346 = 2346 Product of the given numbers = 46 x 51 = 2346

∴ HCF x LCM = Product of the given numbers iii. 15 = 3 x 5 60 = 2 x 30 = 2 x 2 x 15 = 2 x 2 x 3 x 5

∴ HCF of 15 and 60 = 3 x 5 = 15 LCM of 15 and 60 = 3 x 5 x 2 x 2 = 60 HCF x LCM = 15 x 60 = 900 Product of the given numbers = 15 x 60 = 900

∴ HCF x LCM = Product of the given numbers.

iv. 18 = 2 x 9 = 2 x 3 x 3 63 = 3 x 21 = 3 x 3 x 7

∴ HCF of 18 and 63 = 3 x 3 = 9 LCM of 18 and 63 = 3 x 3 x 2 x 7 = 126 HCF x LCM = 9 x 126 = 1134 Product of the given numbers = 18 x 63 = 1134

∴ HCF x LCM = Product of the given numbers.

v. 78 = 2 x 39 = 2 x 3 x 13 104 = 2 x 52 = 2 x 2 x 26 = 2 x 2 x 2 x 13

∴ HCF of 78 and 104 = 2 x 13 = 26 LCM of 78 and 104 = 2 x 13 x 3 x 2 x 2 = 312 HCF x LCM = 26 x 312 = 8112 Product of the given numbers = 78 x 104 = 8112

Step-by-step explanation:

Mark me as brainiest

Answer 2

Best answer i. 32 = 2 x 16 = 2 x 2 x 8 = 2 x 2 x 2 x 4 = 2 x 2 x 2 x 2 x 2 x 1 37 = 37 x 1 ∴ HCF of 32 and 37 =1 LCM of 32 and 37 = 2 x 2 x 2 x 2 x 2 x 37 = 1184 HCF x LCM = 1 x 1184 = 1184 Product of the given numbers = 32 x 37 = 1184 ∴ HCF x LCM = Product of the given numbers. ii. 46 = 2 x 23 x 1 51 = 3 x 17 x 1 ∴ HCF of 46 and 51 = 1 LCM of 46 and 51 = 2 x 23 x 3 x 17 = 2346 HCF x LCM = 1 x 2346 = 2346 Product of the given numbers = 46 x 51 = 2346 ∴ HCF x LCM = Product of the given numbers iii. 15 = 3 x 5 60 = 2 x 30 = 2 x 2 x 15 = 2 x 2 x 3 x 5 ∴ HCF of 15 and 60 = 3 x 5 = 15 LCM of 15 and 60 = 3 x 5 x 2 x 2 = 60 HCF x LCM = 15 x 60 = 900 Product of the given numbers = 15 x 60 = 900 ∴ HCF x LCM = Product of the given numbers. iv. 18 = 2 x 9 = 2 x 3 x 3 63 = 3 x 21 = 3 x 3 x 7 ∴ HCF of 18 and 63 = 3 x 3 = 9 LCM of 18 and 63 = 3 x 3 x 2 x 7 = 126 HCF x LCM = 9 x 126 = 1134 Product of the given numbers = 18 x 63 = 1134 ∴ HCF x LCM = Product of the given numbers. v. 78 = 2 x 39 = 2 x 3 x 13 104 = 2 x 52 = 2 x 2 x 26 = 2 x 2 x 2 x 13 ∴ HCF of 78 and 104 = 2 x 13 = 26 LCM of 78 and 104 = 2 x 13 x 3 x 2 x 2 = 312 HCF x LCM = 26 x 312 = 8112 Product of the given numbers = 78 x 104 = 8112 ∴ HCF x LCM=

Sorry I don’t know the answer but I searched in google

If it was helpful then plz mark as braniliest