Question

find the HCF of the following LDM 216,828​

Answer 1

Answer:

Here you go!

Step-by-step explanation:

Prime factorization method is used.

Prime factorization of 216= 2 × 2 × 2 × 3 × 3 × 3

                                          = 2^4 × 3^3   Note: Here ^ means in

                                                                            Exponents/Power

Prime factorization of 828= 7 × 7 × 13 × 13

                                           = 7²×13²

LCM= Highest power of same numbers with all numbers.

LCM= 2^4×3^3×7²×13²

       = 16×9×49×169

       = 11,92,464

HCF= Same number will appear in both the number's prime factorization

HCF= 1   Note: In this question the prime factors of 216 and 828  have o prime factors in common, so HCF will be taken as 1 in these occasions!

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Answer 2

Answer:

2: 216 2:828

2: 108 2: 414

2: 54. 2: 207

2 : 27 3: 69

3:9 3: 23

3 : 3 23:1

3:1

216= 2 × 2×2×2 ×3×3×3

828= 2×2×2×3×3×23

LCM = 2×2×2×2×3×3×3×23

= 9936

HCF= 2×2×2 ×3×3

= 72