Question

the hcf of 598 and 874​

Answer 1

Step-by-step explanation:

(874; 598) = 46 = 2 × 23: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

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Answer 2

Given: Two numbers 598 and 874

To find: The HCF of given numbers

Solution:

Using Euclid's division lemma to find the HCF.

(Definition - According to Euclid's division lemma, if we have two positive integers a and b, then there exist unique integers q an r which satisfies the condition a = bq + r where 0 ≤ r < b)

Here, the greater integer is 874 and smaller is 598

We need to apply Euclid's Division Lemma (a = bq + r) on the given numbers where a = 874 and b = 598.

We get,

⇒ 874 = 598 × 1 + 276

Now, we need to apply Euclid's Division Lemma again taking a = 598 and b = 276

⇒ 598 = 276 × 2 + 46

Taking a = 276 and b = 46

⇒ 276 = 46 × 6 + 0

As the remainder has become 0, we can't proceed further.

Now, the divisor is 46 when remainder is 0.

Hence, 46 is the HCF of 598 and 874.