Question

find HCF of 60,96 by prime factorisation method​

Answer 1

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★ Find HCF of 60,96 by prime factorisation method

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60

_2_|___60__

_2_|__30___

_3_|___15__

_5_|___5___

__|____1___

96

_2_|___96_

_2_|__48__

_2_|__24__

_2_|__24__

_2_|___12_

_2_|___6__

_3_|___3__

___|__1____

60 = 2 × 2 × 3 × 5

96 = 2 × 2 × 2 × 2 × 2 × 2 × 3

H.C.F of 60 & 96 = 2 × 2 × 3

= 4 × 3

= 12

Hence, The H.C.F of 60 & 96 is 12.

Answer 2

Answer:

60

_2_|___60__

_2_|__30___

_3_|___15__

_5_|___5___

__|____1___

96

_2_|___96_

_2_|__48__

_2_|__24__

_2_|__24__

_2_|___12_

_2_|___6__

_3_|___3__

___|__1____

60 = 2 × 2 × 3 × 5

96 = 2 × 2 × 2 × 2 × 2 × 2 × 3

H.C.F of 60 & 96 = 2 × 2 × 3

= 4 × 3

= 12

Hence, The H.C.F of 60 & 96 is 12.