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Find the HCF of 42a²b and 36a³b

Sagot :

Answer:

Step-by-step explanation: 42a

2

b=2⋅3⋅7⋅a

2

⋅b

36

3

=

2

2

⋅

3

2

⋅

3

⋅

36a

3

b=2

2

⋅3

2

⋅a

3

⋅b

Now, identify the common factors and take the lowest power for each:

Common factors:

2

2 (lowest power is

2

1

2

1

)

3

3 (lowest power is

3

1

3

1

)

a (lowest power is

2

a

2

)

b (lowest power is

1

b

1

)

Therefore, the HCF of

42

2

42a

2

b and

36

3

36a

3

b is:

2

⋅

3

⋅

2

⋅

=

6

2⋅3⋅a

2

⋅b=6ab

Thus, the highest common factor of

42

2

42a

2

b and

36

3

36a

3

b is

6

6ab

​

.

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