Question

find the hcf of 448 and 608​

Answer 1

Answer:

2 608

2 304

2 154

7 77

11 11

1

Step-by-step explanation:

2 448

2 224

2 112

2 56

2 28

2 14

7 7

1

Answer 2

Answer:

The HCF of $448$ and $608$ is $32$.

Step-by-step explanation:

The highest number that evenly divides both numbers is known as the Highest Common Factor (HCF). The highest common factor (HCF) is also termed the greatest common divisor  (GCD).

Steps to find GCF

• Prime factorization of $448$

            $448 = 2 \times 2 \times2 \times 2 \times 2 \times 2 \times 7$

• Prime factorization of $608$

           $608 = 2 \times 2 \times 2 \times 2 \times 2 \times 19$

• Multiply all the prime factors that both numbers share in common in order to determine the HCF:

            HCF = $2 \times 2 \times 2 \times 2 \times 2$

Therefore, the HCF of $448$ and $608$ is $32$.

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