Question

The
H.C.f of 144
180
and 324 is
)​

Answer 1

Answer:

32

Step-by-step explanation:

Decompose all numbers into prime factors

2. Write all numbers as the product of its prime factors

Prime factors of 144 = 24 . 32

Prime factors of 180 = 22 . 32 . 5

Prime factors of 324 = 22 . 34

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 22, 32

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 32 = 36

Answer 2

Answer:

144=2×72

=2×2×36

=2×2×2×18

=2×2×2×2×9

=2×2×2×2×3×3

180=2×90

=2×2×45

=2×2×5×9

=2×2×5×3×3

324=4×81

=2×2×9×9

=2×2×3×3×3×3

From all these common factors are

2×2×3×3=36

so HCF is 36