find the HCF of the following LDM 216,828
Answers
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: 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