Question

Find hcf and lcm of 1024 and 1608

Answer 1

Answer:

24 & 685008

Step-by-step explanation:

Prime factors of 10224 = 2 × 2 × 2 ×2 × 3× 3 × 71= 2⁴ × 3² × 71¹

Prime factors of 1608 = 2×2×2×3 ×67 = 2³ × 3¹ × 67¹

HCF of 10224 and 1608 = 2³ × 3 = 8 ×3 = 24

HCF × LCM = 1st number × 2nd number

24 × LCM = 10224  × 1608

LCM = (10224  × 1608) / 24

LCM = 10224 × 67

LCM = 685008

Hence, the HCF of 10224 & 1608 is 24 &  the LCM of 10224 & 1608 is 685008.