Question

480 and 120 HCF by division method

Answer 1

Step-by-step explanation:

Steps to find GCF

Find the prime factorization of 120

120 = 2 × 2 × 2 × 3 × 5

Find the prime factorization of 480

480 = 2 × 2 × 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 3 × 5

GCF = 120

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Answer 2

Answer:

Divide the larger number by the smaller one.

Notice that dividing our numbers leaves no remainder:

480 ÷ 120 = 4 + 0;

=> 480 = 120 × 4;

So, 480 is divisible by 120;

120 is a factor (a divisor) of 480;

Consequently, greatest (highest) common factor (divisor):

gcf, hcf, gcd (120; 480) = 120;

Step-by-step explanation:

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