find the HCF and the LCM of the following number and verify that the product of numbers =HCF ×LCM 81,82
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Secondary School Math 15 points
Find the hcf and lcm of 81 and 82 and verify the product of numbers= hcf×lcm
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harendrachoubay Expert
The HCF of 81 and 82 = 1 and the LCM of 81 and 82 = 6642.
The product of numbers= HCF × LCM, verified.
Step-by-step explanation:
We have,
81 and 82
To find, the HCF and LCM of 81 and 82 = ?
Verify the product of numbers= HCF × LCM
∴ 81
= 3 × 3 × 3 × 3 × 1 and
82 = 2 × 41 × 1
There is no common factor of 81 and 82.
The HCF of 81 and 82 = 1 and
The LCM of 81 and 82 = 81 × 82 = 6642
We know that,
The product of numbers = HCF × LCM
⇒ 81 × 82 = 1 × 6642
⇒ 6642 = 6642, verified,
Thus, the HCF of 81 and 82 = 1 and the LCM of 81 and 82 = 6642.
The product of numbers= HCF × LCM, verified.
Answer:
Highest Common Factor
HCF = LCM×HCF = a×b
HCF = 6642×HCF= 81×82
HCF = 81×82/6642
HCF = 6642/6642
HCF = 1
Lowest Common Multiple
LCM = LCM×HCF = a×b
LCM = LCM×1 = 81×82
LCM = 81×82/1
LCM = 6642/1
LCM = 6642
( Here your answer guys )