Question

वह बड़ी से बड़ी संख्या ज्ञात करो जिससे 1989 और 672 को भाग करने पर 5 और 7 शेषफल प्राप्त हो?

Answer 1

The answer to this question is 1

Answer 2

Answer:

The greatest number which when divides 1989 and 672 leaves remainder 5 and 7 respectively will be 1

Step-by-step explanation:

Each time when the number divides 1989 and 672 it leaves remainder 5 and 7 respectively.

So, the number exactly divides (1989 - 5) and (672 - 7) ⇒ the number divides 1984 and 665

So, the required number which when divides 1989 and 672 and leaves remainder 5 and 7 respectively will be HCF (1984, 665)

Now, to find HCF (1984, 665) : Find the prime factors of 1984 and 665

1984 = 2 × 2 × 2 × 2 × 2 × 2 × 31

665 = 5 × 7 × 19

So, we can see that there are no common factor in both the numbers.

⇒ HCF = 1

So, the greatest number which when divides 1989 and 672 leaves remainder 5 and 7 respectively will be 1