Question

find the HCF and LCM of 576 and 1440

please answer me Urgently ​

Answer 1

Answer:

hey mate,

here is your answer:

Step-by-step explanation:

Steps to find LCM

Find the prime factorization of 576

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Find the prime factorization of 1440

1440 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5

LCM = 2880

576: 2 2 2 2 2 2 3 3

1440: 2 2 2 2 2 3 3 5

_____________________________

HCF: 2 2 2 2 2 3 3

The Highest Common Factor (HCF) is: 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288

Answer 2

Answer:

L.C.M

2 576,1440

2 288,720

2 144,360

2 72,180

2 36,90

2 18,45

3 9,45

3 3,15

5 1,5

1,1

2×2×2×2×2×2×3×3×5=5760

H.C.F

576)1440(2

-1152

288)576(2

-576

000

= 288

HOPE IT HELPS