Question

Find HCF and LCM of 12, 63 and 99 using prime factorisation method.​

Answer 1

Answer:

99=63×1+36

63=36×1+27

36=27×1+9

27=9×3+0

again

12=9×1+3

9=3×3+0

SO H.C.F=3

Answer 2

Answer:

HCF = 3

LCM =5544

Step-by-step explanation:

HCF of 12,63 and 99 =    

expressing as a product of prime factors

12= 3 x 2 x 2

63= 7 x 3 x 3

99= 3 x 3 x 11

as the common factor is only 3

HCF =3

LCM=

BY USING FACTOR TREE METHORD

     3 /12,63,99    

     2 / 4,21,33

     3 /4,7,11

    2 / 2,7,11

SINCE WE HAVE ALL PRIME NUMBERS WE CAN MULTIPLY AND FIND THE ANSWER

3 X 2 X 3 X 2 X 2 X 7 X 11 =5544

LCM = 5544